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Finding the Fourth Proportional to 8,314, 12,471.84 and 3,382.88

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Solution

The fourth proportional to 8,314, 12,471.84 and 3,382.88 is: 5,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314 : 12,471.84 = 3,382.88 : x
  2. Step 2: Convert to fraction form
    8,314/12,471.84 = 3,382.88/x
  3. Step 3: Cross multiply
    8,314x = 12,471.84 × 3,382.88
  4. Step 4: Simplify right side
    8,314x = 42,190,738.10
  5. Step 5: Solve for x
    x = 42,190,738.10/8,314
  6. Step 6: Final answer
    x = 5,074.66

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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.