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Finding the Fourth Proportional to 12,342, 17,031.96 and 6,753

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Solution

The fourth proportional to 12,342, 17,031.96 and 6,753 is: 9,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342 : 17,031.96 = 6,753 : x
  2. Step 2: Convert to fraction form
    12,342/17,031.96 = 6,753/x
  3. Step 3: Cross multiply
    12,342x = 17,031.96 × 6,753
  4. Step 4: Simplify right side
    12,342x = 115,016,825.88
  5. Step 5: Solve for x
    x = 115,016,825.88/12,342
  6. Step 6: Final answer
    x = 9,319.14

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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.