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Finding the Fourth Proportional to 21,612, 32,433.20 and 7,761.44

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Solution

The fourth proportional to 21,612, 32,433.20 and 7,761.44 is: 11,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612 : 32,433.20 = 7,761.44 : x
  2. Step 2: Convert to fraction form
    21,612/32,433.20 = 7,761.44/x
  3. Step 3: Cross multiply
    21,612x = 32,433.20 × 7,761.44
  4. Step 4: Simplify right side
    21,612x = 251,728,335.81
  5. Step 5: Solve for x
    x = 251,728,335.81/21,612
  6. Step 6: Final answer
    x = 11,647.62

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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.