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Finding the Fourth Proportional to 12,409, 17,125.88 and 7,373.26

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Solution

The fourth proportional to 12,409, 17,125.88 and 7,373.26 is: 10,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409 : 17,125.88 = 7,373.26 : x
  2. Step 2: Convert to fraction form
    12,409/17,125.88 = 7,373.26/x
  3. Step 3: Cross multiply
    12,409x = 17,125.88 × 7,373.26
  4. Step 4: Simplify right side
    12,409x = 126,273,565.97
  5. Step 5: Solve for x
    x = 126,273,565.97/12,409
  6. Step 6: Final answer
    x = 10,175.97

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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.