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Finding the Fourth Proportional to 2,578.86, 3,868.26 and 631.08

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Solution

The fourth proportional to 2,578.86, 3,868.26 and 631.08 is: 946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.86 : 3,868.26 = 631.08 : x
  2. Step 2: Convert to fraction form
    2,578.86/3,868.26 = 631.08/x
  3. Step 3: Cross multiply
    2,578.86x = 3,868.26 × 631.08
  4. Step 4: Simplify right side
    2,578.86x = 2,441,179.15
  5. Step 5: Solve for x
    x = 2,441,179.15/2,578.86
  6. Step 6: Final answer
    x = 946.61

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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.