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Finding the Fourth Proportional to 2,578.53, 3,868.14 and 935.85

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Solution

The fourth proportional to 2,578.53, 3,868.14 and 935.85 is: 1,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.53 : 3,868.14 = 935.85 : x
  2. Step 2: Convert to fraction form
    2,578.53/3,868.14 = 935.85/x
  3. Step 3: Cross multiply
    2,578.53x = 3,868.14 × 935.85
  4. Step 4: Simplify right side
    2,578.53x = 3,620,011.57
  5. Step 5: Solve for x
    x = 3,620,011.57/2,578.53
  6. Step 6: Final answer
    x = 1,403.90

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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.