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Finding the Fourth Proportional to 21,493.52, 29,658.48 and 12,540

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Solution

The fourth proportional to 21,493.52, 29,658.48 and 12,540 is: 17,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.52 : 29,658.48 = 12,540 : x
  2. Step 2: Convert to fraction form
    21,493.52/29,658.48 = 12,540/x
  3. Step 3: Cross multiply
    21,493.52x = 29,658.48 × 12,540
  4. Step 4: Simplify right side
    21,493.52x = 371,917,339.20
  5. Step 5: Solve for x
    x = 371,917,339.20/21,493.52
  6. Step 6: Final answer
    x = 17,303.70

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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.