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Finding the Fourth Proportional to 11,600.76, 16,012.86 and 6,820.48

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Solution

The fourth proportional to 11,600.76, 16,012.86 and 6,820.48 is: 9,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.76 : 16,012.86 = 6,820.48 : x
  2. Step 2: Convert to fraction form
    11,600.76/16,012.86 = 6,820.48/x
  3. Step 3: Cross multiply
    11,600.76x = 16,012.86 × 6,820.48
  4. Step 4: Simplify right side
    11,600.76x = 109,215,341.50
  5. Step 5: Solve for x
    x = 109,215,341.50/11,600.76
  6. Step 6: Final answer
    x = 9,414.50

Related Problems

Find fourth proportional to 5,800.38, 8,006.43 and 3,410.24
Half scale
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Double scale
Find fourth proportional to 11,601.76, 16,014.24 and 6,821.48
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.