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Finding the Fourth Proportional to 2,438.73, 3,658.10 and 878.94

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Solution

The fourth proportional to 2,438.73, 3,658.10 and 878.94 is: 1,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.73 : 3,658.10 = 878.94 : x
  2. Step 2: Convert to fraction form
    2,438.73/3,658.10 = 878.94/x
  3. Step 3: Cross multiply
    2,438.73x = 3,658.10 × 878.94
  4. Step 4: Simplify right side
    2,438.73x = 3,215,246.02
  5. Step 5: Solve for x
    x = 3,215,246.02/2,438.73
  6. Step 6: Final answer
    x = 1,318.41

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Why These Related Problems?

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