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Finding the Fourth Proportional to 21,691.30, 32,542.14 and 7,459.54

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Solution

The fourth proportional to 21,691.30, 32,542.14 and 7,459.54 is: 11,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.30 : 32,542.14 = 7,459.54 : x
  2. Step 2: Convert to fraction form
    21,691.30/32,542.14 = 7,459.54/x
  3. Step 3: Cross multiply
    21,691.30x = 32,542.14 × 7,459.54
  4. Step 4: Simplify right side
    21,691.30x = 242,749,395.02
  5. Step 5: Solve for x
    x = 242,749,395.02/21,691.30
  6. Step 6: Final answer
    x = 11,191.09

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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.