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Finding the Fourth Proportional to 8,374, 12,561 and 3,446.32

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Solution

The fourth proportional to 8,374, 12,561 and 3,446.32 is: 5,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374 : 12,561 = 3,446.32 : x
  2. Step 2: Convert to fraction form
    8,374/12,561 = 3,446.32/x
  3. Step 3: Cross multiply
    8,374x = 12,561 × 3,446.32
  4. Step 4: Simplify right side
    8,374x = 43,289,225.52
  5. Step 5: Solve for x
    x = 43,289,225.52/8,374
  6. Step 6: Final answer
    x = 5,169.48

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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.