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Finding the Fourth Proportional to 2,478.63, 3,718.07 and 1,382.16

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Solution

The fourth proportional to 2,478.63, 3,718.07 and 1,382.16 is: 2,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.63 : 3,718.07 = 1,382.16 : x
  2. Step 2: Convert to fraction form
    2,478.63/3,718.07 = 1,382.16/x
  3. Step 3: Cross multiply
    2,478.63x = 3,718.07 × 1,382.16
  4. Step 4: Simplify right side
    2,478.63x = 5,138,979.85
  5. Step 5: Solve for x
    x = 5,138,979.85/2,478.63
  6. Step 6: Final answer
    x = 2,073.31

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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.