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Finding the Fourth Proportional to 2,760.50, 4,140.90 and 812.90

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Solution

The fourth proportional to 2,760.50, 4,140.90 and 812.90 is: 1,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.50 : 4,140.90 = 812.90 : x
  2. Step 2: Convert to fraction form
    2,760.50/4,140.90 = 812.90/x
  3. Step 3: Cross multiply
    2,760.50x = 4,140.90 × 812.90
  4. Step 4: Simplify right side
    2,760.50x = 3,366,137.61
  5. Step 5: Solve for x
    x = 3,366,137.61/2,760.50
  6. Step 6: Final answer
    x = 1,219.39

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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.