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Finding the Fourth Proportional to 30,534, 42,136.92 and 17,286

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Solution

The fourth proportional to 30,534, 42,136.92 and 17,286 is: 23,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534 : 42,136.92 = 17,286 : x
  2. Step 2: Convert to fraction form
    30,534/42,136.92 = 17,286/x
  3. Step 3: Cross multiply
    30,534x = 42,136.92 × 17,286
  4. Step 4: Simplify right side
    30,534x = 728,378,799.12
  5. Step 5: Solve for x
    x = 728,378,799.12/30,534
  6. Step 6: Final answer
    x = 23,854.68

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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.