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Finding the Fourth Proportional to 2,578.85, 3,868.17 and 631

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Solution

The fourth proportional to 2,578.85, 3,868.17 and 631 is: 946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.85 : 3,868.17 = 631 : x
  2. Step 2: Convert to fraction form
    2,578.85/3,868.17 = 631/x
  3. Step 3: Cross multiply
    2,578.85x = 3,868.17 × 631
  4. Step 4: Simplify right side
    2,578.85x = 2,440,815.27
  5. Step 5: Solve for x
    x = 2,440,815.27/2,578.85
  6. Step 6: Final answer
    x = 946.47

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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.