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Finding the Fourth Proportional to 15,129.77, 20,876.54 and 8,414.50

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Solution

The fourth proportional to 15,129.77, 20,876.54 and 8,414.50 is: 11,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.77 : 20,876.54 = 8,414.50 : x
  2. Step 2: Convert to fraction form
    15,129.77/20,876.54 = 8,414.50/x
  3. Step 3: Cross multiply
    15,129.77x = 20,876.54 × 8,414.50
  4. Step 4: Simplify right side
    15,129.77x = 175,665,645.83
  5. Step 5: Solve for x
    x = 175,665,645.83/15,129.77
  6. Step 6: Final answer
    x = 11,610.60

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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.