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Finding the Fourth Proportional to 2,627.53, 3,942.07 and 778.70

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Solution

The fourth proportional to 2,627.53, 3,942.07 and 778.70 is: 1,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.53 : 3,942.07 = 778.70 : x
  2. Step 2: Convert to fraction form
    2,627.53/3,942.07 = 778.70/x
  3. Step 3: Cross multiply
    2,627.53x = 3,942.07 × 778.70
  4. Step 4: Simplify right side
    2,627.53x = 3,069,689.91
  5. Step 5: Solve for x
    x = 3,069,689.91/2,627.53
  6. Step 6: Final answer
    x = 1,168.28

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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.