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Finding the Fourth Proportional to 3,318.43, 4,978.50 and 2,382.46

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Solution

The fourth proportional to 3,318.43, 4,978.50 and 2,382.46 is: 3,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.43 : 4,978.50 = 2,382.46 : x
  2. Step 2: Convert to fraction form
    3,318.43/4,978.50 = 2,382.46/x
  3. Step 3: Cross multiply
    3,318.43x = 4,978.50 × 2,382.46
  4. Step 4: Simplify right side
    3,318.43x = 11,861,077.11
  5. Step 5: Solve for x
    x = 11,861,077.11/3,318.43
  6. Step 6: Final answer
    x = 3,574.30

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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.