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Finding the Fourth Proportional to 12,442, 17,169.80 and 7,064.40

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Solution

The fourth proportional to 12,442, 17,169.80 and 7,064.40 is: 9,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442 : 17,169.80 = 7,064.40 : x
  2. Step 2: Convert to fraction form
    12,442/17,169.80 = 7,064.40/x
  3. Step 3: Cross multiply
    12,442x = 17,169.80 × 7,064.40
  4. Step 4: Simplify right side
    12,442x = 121,294,335.12
  5. Step 5: Solve for x
    x = 121,294,335.12/12,442
  6. Step 6: Final answer
    x = 9,748.78

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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.