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Finding the Fourth Proportional to 21,745.64, 32,608.17 and 8,424.87

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Solution

The fourth proportional to 21,745.64, 32,608.17 and 8,424.87 is: 12,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.64 : 32,608.17 = 8,424.87 : x
  2. Step 2: Convert to fraction form
    21,745.64/32,608.17 = 8,424.87/x
  3. Step 3: Cross multiply
    21,745.64x = 32,608.17 × 8,424.87
  4. Step 4: Simplify right side
    21,745.64x = 274,719,593.19
  5. Step 5: Solve for x
    x = 274,719,593.19/21,745.64
  6. Step 6: Final answer
    x = 12,633.32

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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.