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Finding the Fourth Proportional to 21,306.67, 31,964.61 and 8,159.04

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Solution

The fourth proportional to 21,306.67, 31,964.61 and 8,159.04 is: 12,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.67 : 31,964.61 = 8,159.04 : x
  2. Step 2: Convert to fraction form
    21,306.67/31,964.61 = 8,159.04/x
  3. Step 3: Cross multiply
    21,306.67x = 31,964.61 × 8,159.04
  4. Step 4: Simplify right side
    21,306.67x = 260,800,371.75
  5. Step 5: Solve for x
    x = 260,800,371.75/21,306.67
  6. Step 6: Final answer
    x = 12,240.32

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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.