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Finding the Fourth Proportional to 8,614.80, 12,924.60 and 3,424.32

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Solution

The fourth proportional to 8,614.80, 12,924.60 and 3,424.32 is: 5,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.80 : 12,924.60 = 3,424.32 : x
  2. Step 2: Convert to fraction form
    8,614.80/12,924.60 = 3,424.32/x
  3. Step 3: Cross multiply
    8,614.80x = 12,924.60 × 3,424.32
  4. Step 4: Simplify right side
    8,614.80x = 44,257,966.27
  5. Step 5: Solve for x
    x = 44,257,966.27/8,614.80
  6. Step 6: Final answer
    x = 5,137.43

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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.