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Finding the Fourth Proportional to 21,665.92, 32,493.12 and 9,984.64

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Solution

The fourth proportional to 21,665.92, 32,493.12 and 9,984.64 is: 14,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.92 : 32,493.12 = 9,984.64 : x
  2. Step 2: Convert to fraction form
    21,665.92/32,493.12 = 9,984.64/x
  3. Step 3: Cross multiply
    21,665.92x = 32,493.12 × 9,984.64
  4. Step 4: Simplify right side
    21,665.92x = 324,432,105.68
  5. Step 5: Solve for x
    x = 324,432,105.68/21,665.92
  6. Step 6: Final answer
    x = 14,974.31

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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.