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Finding the Fourth Proportional to 12,442, 17,169.96 and 6,853

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Solution

The fourth proportional to 12,442, 17,169.96 and 6,853 is: 9,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442 : 17,169.96 = 6,853 : x
  2. Step 2: Convert to fraction form
    12,442/17,169.96 = 6,853/x
  3. Step 3: Cross multiply
    12,442x = 17,169.96 × 6,853
  4. Step 4: Simplify right side
    12,442x = 117,665,735.88
  5. Step 5: Solve for x
    x = 117,665,735.88/12,442
  6. Step 6: Final answer
    x = 9,457.14

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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.