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Finding the Fourth Proportional to 31,445.76, 47,129.76 and 15,867.84

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Solution

The fourth proportional to 31,445.76, 47,129.76 and 15,867.84 is: 23,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,445.76 : 47,129.76 = 15,867.84 : x
  2. Step 2: Convert to fraction form
    31,445.76/47,129.76 = 15,867.84/x
  3. Step 3: Cross multiply
    31,445.76x = 47,129.76 × 15,867.84
  4. Step 4: Simplify right side
    31,445.76x = 747,847,490.92
  5. Step 5: Solve for x
    x = 747,847,490.92/31,445.76
  6. Step 6: Final answer
    x = 23,782.14

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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.