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Finding the Fourth Proportional to 21,414.87, 32,129.87 and 9,567.54

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Solution

The fourth proportional to 21,414.87, 32,129.87 and 9,567.54 is: 14,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.87 : 32,129.87 = 9,567.54 : x
  2. Step 2: Convert to fraction form
    21,414.87/32,129.87 = 9,567.54/x
  3. Step 3: Cross multiply
    21,414.87x = 32,129.87 × 9,567.54
  4. Step 4: Simplify right side
    21,414.87x = 307,403,768.58
  5. Step 5: Solve for x
    x = 307,403,768.58/21,414.87
  6. Step 6: Final answer
    x = 14,354.69

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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.