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Finding the Fourth Proportional to 21,709.68, 32,558 and 9,229.64

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Solution

The fourth proportional to 21,709.68, 32,558 and 9,229.64 is: 13,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.68 : 32,558 = 9,229.64 : x
  2. Step 2: Convert to fraction form
    21,709.68/32,558 = 9,229.64/x
  3. Step 3: Cross multiply
    21,709.68x = 32,558 × 9,229.64
  4. Step 4: Simplify right side
    21,709.68x = 300,498,619.12
  5. Step 5: Solve for x
    x = 300,498,619.12/21,709.68
  6. Step 6: Final answer
    x = 13,841.69

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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.