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Finding the Fourth Proportional to 2,382, 3,287.52 and 1,451.04

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Solution

The fourth proportional to 2,382, 3,287.52 and 1,451.04 is: 2,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382 : 3,287.52 = 1,451.04 : x
  2. Step 2: Convert to fraction form
    2,382/3,287.52 = 1,451.04/x
  3. Step 3: Cross multiply
    2,382x = 3,287.52 × 1,451.04
  4. Step 4: Simplify right side
    2,382x = 4,770,323.02
  5. Step 5: Solve for x
    x = 4,770,323.02/2,382
  6. Step 6: Final answer
    x = 2,002.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.