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Finding the Fourth Proportional to 2,425.45, 3,638.57 and 781.78

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Solution

The fourth proportional to 2,425.45, 3,638.57 and 781.78 is: 1,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.45 : 3,638.57 = 781.78 : x
  2. Step 2: Convert to fraction form
    2,425.45/3,638.57 = 781.78/x
  3. Step 3: Cross multiply
    2,425.45x = 3,638.57 × 781.78
  4. Step 4: Simplify right side
    2,425.45x = 2,844,561.25
  5. Step 5: Solve for x
    x = 2,844,561.25/2,425.45
  6. Step 6: Final answer
    x = 1,172.80

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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.