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Finding the Fourth Proportional to 8,314.32, 12,472 and 3,381.26

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Solution

The fourth proportional to 8,314.32, 12,472 and 3,381.26 is: 5,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.32 : 12,472 = 3,381.26 : x
  2. Step 2: Convert to fraction form
    8,314.32/12,472 = 3,381.26/x
  3. Step 3: Cross multiply
    8,314.32x = 12,472 × 3,381.26
  4. Step 4: Simplify right side
    8,314.32x = 42,171,012.36
  5. Step 5: Solve for x
    x = 42,171,012.36/8,314.32
  6. Step 6: Final answer
    x = 5,072.10

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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.