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Finding the Fourth Proportional to 11,477.76, 15,846.88 and 8,820.32

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Solution

The fourth proportional to 11,477.76, 15,846.88 and 8,820.32 is: 12,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.76 : 15,846.88 = 8,820.32 : x
  2. Step 2: Convert to fraction form
    11,477.76/15,846.88 = 8,820.32/x
  3. Step 3: Cross multiply
    11,477.76x = 15,846.88 × 8,820.32
  4. Step 4: Simplify right side
    11,477.76x = 139,774,552.60
  5. Step 5: Solve for x
    x = 139,774,552.60/11,477.76
  6. Step 6: Final answer
    x = 12,177.86

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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.