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Finding the Fourth Proportional to 21,147.68, 29,184.80 and 12,764

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Solution

The fourth proportional to 21,147.68, 29,184.80 and 12,764 is: 17,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.68 : 29,184.80 = 12,764 : x
  2. Step 2: Convert to fraction form
    21,147.68/29,184.80 = 12,764/x
  3. Step 3: Cross multiply
    21,147.68x = 29,184.80 × 12,764
  4. Step 4: Simplify right side
    21,147.68x = 372,514,787.20
  5. Step 5: Solve for x
    x = 372,514,787.20/21,147.68
  6. Step 6: Final answer
    x = 17,614.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.