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Finding the Fourth Proportional to 6,311.20, 9,454.98 and 5,661.32

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Solution

The fourth proportional to 6,311.20, 9,454.98 and 5,661.32 is: 8,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.20 : 9,454.98 = 5,661.32 : x
  2. Step 2: Convert to fraction form
    6,311.20/9,454.98 = 5,661.32/x
  3. Step 3: Cross multiply
    6,311.20x = 9,454.98 × 5,661.32
  4. Step 4: Simplify right side
    6,311.20x = 53,527,677.14
  5. Step 5: Solve for x
    x = 53,527,677.14/6,311.20
  6. Step 6: Final answer
    x = 8,481.37

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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.