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Finding the Fourth Proportional to 6,761.78, 10,144.11 and 2,866.10

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Solution

The fourth proportional to 6,761.78, 10,144.11 and 2,866.10 is: 4,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.78 : 10,144.11 = 2,866.10 : x
  2. Step 2: Convert to fraction form
    6,761.78/10,144.11 = 2,866.10/x
  3. Step 3: Cross multiply
    6,761.78x = 10,144.11 × 2,866.10
  4. Step 4: Simplify right side
    6,761.78x = 29,074,033.67
  5. Step 5: Solve for x
    x = 29,074,033.67/6,761.78
  6. Step 6: Final answer
    x = 4,299.76

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1.5x scale

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.