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Finding the Fourth Proportional to 2,488.31, 3,731.93 and 732.83

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Solution

The fourth proportional to 2,488.31, 3,731.93 and 732.83 is: 1,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.31 : 3,731.93 = 732.83 : x
  2. Step 2: Convert to fraction form
    2,488.31/3,731.93 = 732.83/x
  3. Step 3: Cross multiply
    2,488.31x = 3,731.93 × 732.83
  4. Step 4: Simplify right side
    2,488.31x = 2,734,875.93
  5. Step 5: Solve for x
    x = 2,734,875.93/2,488.31
  6. Step 6: Final answer
    x = 1,099.09

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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.