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Finding the Fourth Proportional to 31,876.36, 47,820 and 9,691.96

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Solution

The fourth proportional to 31,876.36, 47,820 and 9,691.96 is: 14,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.36 : 47,820 = 9,691.96 : x
  2. Step 2: Convert to fraction form
    31,876.36/47,820 = 9,691.96/x
  3. Step 3: Cross multiply
    31,876.36x = 47,820 × 9,691.96
  4. Step 4: Simplify right side
    31,876.36x = 463,469,527.20
  5. Step 5: Solve for x
    x = 463,469,527.20/31,876.36
  6. Step 6: Final answer
    x = 14,539.60

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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.