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Finding the Fourth Proportional to 2,403.26, 3,604.92 and 671.78

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Solution

The fourth proportional to 2,403.26, 3,604.92 and 671.78 is: 1,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.26 : 3,604.92 = 671.78 : x
  2. Step 2: Convert to fraction form
    2,403.26/3,604.92 = 671.78/x
  3. Step 3: Cross multiply
    2,403.26x = 3,604.92 × 671.78
  4. Step 4: Simplify right side
    2,403.26x = 2,421,713.16
  5. Step 5: Solve for x
    x = 2,421,713.16/2,403.26
  6. Step 6: Final answer
    x = 1,007.68

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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.