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Finding the Fourth Proportional to 20,193.84, 30,294.12 and 6,342

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Solution

The fourth proportional to 20,193.84, 30,294.12 and 6,342 is: 9,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.84 : 30,294.12 = 6,342 : x
  2. Step 2: Convert to fraction form
    20,193.84/30,294.12 = 6,342/x
  3. Step 3: Cross multiply
    20,193.84x = 30,294.12 × 6,342
  4. Step 4: Simplify right side
    20,193.84x = 192,125,309.04
  5. Step 5: Solve for x
    x = 192,125,309.04/20,193.84
  6. Step 6: Final answer
    x = 9,514.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.