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Finding the Fourth Proportional to 21,175.80, 29,136.78 and 17,385

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Solution

The fourth proportional to 21,175.80, 29,136.78 and 17,385 is: 23,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.80 : 29,136.78 = 17,385 : x
  2. Step 2: Convert to fraction form
    21,175.80/29,136.78 = 17,385/x
  3. Step 3: Cross multiply
    21,175.80x = 29,136.78 × 17,385
  4. Step 4: Simplify right side
    21,175.80x = 506,542,920.30
  5. Step 5: Solve for x
    x = 506,542,920.30/21,175.80
  6. Step 6: Final answer
    x = 23,920.84

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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.