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Finding the Fourth Proportional to 21,231.71, 31,835.25 and 8,737.61

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Solution

The fourth proportional to 21,231.71, 31,835.25 and 8,737.61 is: 13,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.71 : 31,835.25 = 8,737.61 : x
  2. Step 2: Convert to fraction form
    21,231.71/31,835.25 = 8,737.61/x
  3. Step 3: Cross multiply
    21,231.71x = 31,835.25 × 8,737.61
  4. Step 4: Simplify right side
    21,231.71x = 278,163,998.75
  5. Step 5: Solve for x
    x = 278,163,998.75/21,231.71
  6. Step 6: Final answer
    x = 13,101.35

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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.