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Finding the Fourth Proportional to 7,243.56, 10,865.34 and 6,874.20

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Solution

The fourth proportional to 7,243.56, 10,865.34 and 6,874.20 is: 10,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.56 : 10,865.34 = 6,874.20 : x
  2. Step 2: Convert to fraction form
    7,243.56/10,865.34 = 6,874.20/x
  3. Step 3: Cross multiply
    7,243.56x = 10,865.34 × 6,874.20
  4. Step 4: Simplify right side
    7,243.56x = 74,690,520.23
  5. Step 5: Solve for x
    x = 74,690,520.23/7,243.56
  6. Step 6: Final answer
    x = 10,311.30

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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.