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Finding the Fourth Proportional to 2,439, 3,658.14 and 878.68

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Solution

The fourth proportional to 2,439, 3,658.14 and 878.68 is: 1,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439 : 3,658.14 = 878.68 : x
  2. Step 2: Convert to fraction form
    2,439/3,658.14 = 878.68/x
  3. Step 3: Cross multiply
    2,439x = 3,658.14 × 878.68
  4. Step 4: Simplify right side
    2,439x = 3,214,334.46
  5. Step 5: Solve for x
    x = 3,214,334.46/2,439
  6. Step 6: Final answer
    x = 1,317.89

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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.