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Finding the Fourth Proportional to 21,691.38, 32,539.71 and 6,109.01

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Solution

The fourth proportional to 21,691.38, 32,539.71 and 6,109.01 is: 9,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.38 : 32,539.71 = 6,109.01 : x
  2. Step 2: Convert to fraction form
    21,691.38/32,539.71 = 6,109.01/x
  3. Step 3: Cross multiply
    21,691.38x = 32,539.71 × 6,109.01
  4. Step 4: Simplify right side
    21,691.38x = 198,785,413.79
  5. Step 5: Solve for x
    x = 198,785,413.79/21,691.38
  6. Step 6: Final answer
    x = 9,164.26

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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.