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Finding the Fourth Proportional to 20,862, 31,292.68 and 5,067.16

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Solution

The fourth proportional to 20,862, 31,292.68 and 5,067.16 is: 7,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862 : 31,292.68 = 5,067.16 : x
  2. Step 2: Convert to fraction form
    20,862/31,292.68 = 5,067.16/x
  3. Step 3: Cross multiply
    20,862x = 31,292.68 × 5,067.16
  4. Step 4: Simplify right side
    20,862x = 158,565,016.39
  5. Step 5: Solve for x
    x = 158,565,016.39/20,862
  6. Step 6: Final answer
    x = 7,600.66

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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.