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Finding the Fourth Proportional to 11,471.76, 15,820.95 and 8,284.23

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Solution

The fourth proportional to 11,471.76, 15,820.95 and 8,284.23 is: 11,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.76 : 15,820.95 = 8,284.23 : x
  2. Step 2: Convert to fraction form
    11,471.76/15,820.95 = 8,284.23/x
  3. Step 3: Cross multiply
    11,471.76x = 15,820.95 × 8,284.23
  4. Step 4: Simplify right side
    11,471.76x = 131,064,388.62
  5. Step 5: Solve for x
    x = 131,064,388.62/11,471.76
  6. Step 6: Final answer
    x = 11,424.96

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Double scale
Find fourth proportional to 11,472.76, 15,822.33 and 8,285.23
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.