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Finding the Fourth Proportional to 2,542.04, 3,813.06 and 982.52

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Solution

The fourth proportional to 2,542.04, 3,813.06 and 982.52 is: 1,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.04 : 3,813.06 = 982.52 : x
  2. Step 2: Convert to fraction form
    2,542.04/3,813.06 = 982.52/x
  3. Step 3: Cross multiply
    2,542.04x = 3,813.06 × 982.52
  4. Step 4: Simplify right side
    2,542.04x = 3,746,407.71
  5. Step 5: Solve for x
    x = 3,746,407.71/2,542.04
  6. Step 6: Final answer
    x = 1,473.78

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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.