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Finding the Fourth Proportional to 2,382.52, 3,574.80 and 996.18

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Solution

The fourth proportional to 2,382.52, 3,574.80 and 996.18 is: 1,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.52 : 3,574.80 = 996.18 : x
  2. Step 2: Convert to fraction form
    2,382.52/3,574.80 = 996.18/x
  3. Step 3: Cross multiply
    2,382.52x = 3,574.80 × 996.18
  4. Step 4: Simplify right side
    2,382.52x = 3,561,144.26
  5. Step 5: Solve for x
    x = 3,561,144.26/2,382.52
  6. Step 6: Final answer
    x = 1,494.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.