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Finding the Fourth Proportional to 25,615.28, 38,425.08 and 8,086.16

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Solution

The fourth proportional to 25,615.28, 38,425.08 and 8,086.16 is: 12,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.28 : 38,425.08 = 8,086.16 : x
  2. Step 2: Convert to fraction form
    25,615.28/38,425.08 = 8,086.16/x
  3. Step 3: Cross multiply
    25,615.28x = 38,425.08 × 8,086.16
  4. Step 4: Simplify right side
    25,615.28x = 310,711,344.89
  5. Step 5: Solve for x
    x = 310,711,344.89/25,615.28
  6. Step 6: Final answer
    x = 12,129.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.