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Finding the Fourth Proportional to 12,565.26, 17,335.68 and 7,531.11

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Solution

The fourth proportional to 12,565.26, 17,335.68 and 7,531.11 is: 10,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.26 : 17,335.68 = 7,531.11 : x
  2. Step 2: Convert to fraction form
    12,565.26/17,335.68 = 7,531.11/x
  3. Step 3: Cross multiply
    12,565.26x = 17,335.68 × 7,531.11
  4. Step 4: Simplify right side
    12,565.26x = 130,556,913.00
  5. Step 5: Solve for x
    x = 130,556,913.00/12,565.26
  6. Step 6: Final answer
    x = 10,390.31

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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.