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Finding the Fourth Proportional to 15,129.13, 20,877.83 and 8,414.74

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Solution

The fourth proportional to 15,129.13, 20,877.83 and 8,414.74 is: 11,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.13 : 20,877.83 = 8,414.74 : x
  2. Step 2: Convert to fraction form
    15,129.13/20,877.83 = 8,414.74/x
  3. Step 3: Cross multiply
    15,129.13x = 20,877.83 × 8,414.74
  4. Step 4: Simplify right side
    15,129.13x = 175,681,511.21
  5. Step 5: Solve for x
    x = 175,681,511.21/15,129.13
  6. Step 6: Final answer
    x = 11,612.14

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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.