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Finding the Fourth Proportional to 21,395.76, 32,098.49 and 8,248.85

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Solution

The fourth proportional to 21,395.76, 32,098.49 and 8,248.85 is: 12,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,395.76 : 32,098.49 = 8,248.85 : x
  2. Step 2: Convert to fraction form
    21,395.76/32,098.49 = 8,248.85/x
  3. Step 3: Cross multiply
    21,395.76x = 32,098.49 × 8,248.85
  4. Step 4: Simplify right side
    21,395.76x = 264,775,629.24
  5. Step 5: Solve for x
    x = 264,775,629.24/21,395.76
  6. Step 6: Final answer
    x = 12,375.14

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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.