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Finding the Fourth Proportional to 31,374.44, 47,061.68 and 19,695.86

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Solution

The fourth proportional to 31,374.44, 47,061.68 and 19,695.86 is: 29,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.44 : 47,061.68 = 19,695.86 : x
  2. Step 2: Convert to fraction form
    31,374.44/47,061.68 = 19,695.86/x
  3. Step 3: Cross multiply
    31,374.44x = 47,061.68 × 19,695.86
  4. Step 4: Simplify right side
    31,374.44x = 926,920,103.34
  5. Step 5: Solve for x
    x = 926,920,103.34/31,374.44
  6. Step 6: Final answer
    x = 29,543.80

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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.