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Finding the Fourth Proportional to 6,761.80, 10,142.70 and 2,813.23

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Solution

The fourth proportional to 6,761.80, 10,142.70 and 2,813.23 is: 4,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.80 : 10,142.70 = 2,813.23 : x
  2. Step 2: Convert to fraction form
    6,761.80/10,142.70 = 2,813.23/x
  3. Step 3: Cross multiply
    6,761.80x = 10,142.70 × 2,813.23
  4. Step 4: Simplify right side
    6,761.80x = 28,533,765.87
  5. Step 5: Solve for x
    x = 28,533,765.87/6,761.80
  6. Step 6: Final answer
    x = 4,219.85

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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.