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Finding the Fourth Proportional to 21,296.52, 31,947 and 8,160

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Solution

The fourth proportional to 21,296.52, 31,947 and 8,160 is: 12,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.52 : 31,947 = 8,160 : x
  2. Step 2: Convert to fraction form
    21,296.52/31,947 = 8,160/x
  3. Step 3: Cross multiply
    21,296.52x = 31,947 × 8,160
  4. Step 4: Simplify right side
    21,296.52x = 260,687,520
  5. Step 5: Solve for x
    x = 260,687,520/21,296.52
  6. Step 6: Final answer
    x = 12,240.85

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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.