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Finding the Fourth Proportional to 11,862, 17,761.41 and 7,689.96

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Solution

The fourth proportional to 11,862, 17,761.41 and 7,689.96 is: 11,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862 : 17,761.41 = 7,689.96 : x
  2. Step 2: Convert to fraction form
    11,862/17,761.41 = 7,689.96/x
  3. Step 3: Cross multiply
    11,862x = 17,761.41 × 7,689.96
  4. Step 4: Simplify right side
    11,862x = 136,584,532.44
  5. Step 5: Solve for x
    x = 136,584,532.44/11,862
  6. Step 6: Final answer
    x = 11,514.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.