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Finding the Fourth Proportional to 2,382.83, 3,287.20 and 1,543.82

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Solution

The fourth proportional to 2,382.83, 3,287.20 and 1,543.82 is: 2,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.83 : 3,287.20 = 1,543.82 : x
  2. Step 2: Convert to fraction form
    2,382.83/3,287.20 = 1,543.82/x
  3. Step 3: Cross multiply
    2,382.83x = 3,287.20 × 1,543.82
  4. Step 4: Simplify right side
    2,382.83x = 5,074,833.03
  5. Step 5: Solve for x
    x = 5,074,833.03/2,382.83
  6. Step 6: Final answer
    x = 2,129.75

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