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Finding the Fourth Proportional to 21,358.68, 29,467.17 and 13,398

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Solution

The fourth proportional to 21,358.68, 29,467.17 and 13,398 is: 18,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.68 : 29,467.17 = 13,398 : x
  2. Step 2: Convert to fraction form
    21,358.68/29,467.17 = 13,398/x
  3. Step 3: Cross multiply
    21,358.68x = 29,467.17 × 13,398
  4. Step 4: Simplify right side
    21,358.68x = 394,801,143.66
  5. Step 5: Solve for x
    x = 394,801,143.66/21,358.68
  6. Step 6: Final answer
    x = 18,484.34

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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.