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Finding the Fourth Proportional to 15,042.60, 20,757 and 9,299.16

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Solution

The fourth proportional to 15,042.60, 20,757 and 9,299.16 is: 12,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,042.60 : 20,757 = 9,299.16 : x
  2. Step 2: Convert to fraction form
    15,042.60/20,757 = 9,299.16/x
  3. Step 3: Cross multiply
    15,042.60x = 20,757 × 9,299.16
  4. Step 4: Simplify right side
    15,042.60x = 193,022,664.12
  5. Step 5: Solve for x
    x = 193,022,664.12/15,042.60
  6. Step 6: Final answer
    x = 12,831.74

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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.