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Finding the Fourth Proportional to 25,700.86, 38,565.86 and 10,129.42

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Solution

The fourth proportional to 25,700.86, 38,565.86 and 10,129.42 is: 15,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.86 : 38,565.86 = 10,129.42 : x
  2. Step 2: Convert to fraction form
    25,700.86/38,565.86 = 10,129.42/x
  3. Step 3: Cross multiply
    25,700.86x = 38,565.86 × 10,129.42
  4. Step 4: Simplify right side
    25,700.86x = 390,649,793.60
  5. Step 5: Solve for x
    x = 390,649,793.60/25,700.86
  6. Step 6: Final answer
    x = 15,199.87

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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.