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Finding the Fourth Proportional to 31,985.43, 47,978.85 and 25,416.24

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Solution

The fourth proportional to 31,985.43, 47,978.85 and 25,416.24 is: 38,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.43 : 47,978.85 = 25,416.24 : x
  2. Step 2: Convert to fraction form
    31,985.43/47,978.85 = 25,416.24/x
  3. Step 3: Cross multiply
    31,985.43x = 47,978.85 × 25,416.24
  4. Step 4: Simplify right side
    31,985.43x = 1,219,441,966.52
  5. Step 5: Solve for x
    x = 1,219,441,966.52/31,985.43
  6. Step 6: Final answer
    x = 38,124.92

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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.