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Finding the Fourth Proportional to 7,086.57, 10,631.76 and 6,311.88

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Solution

The fourth proportional to 7,086.57, 10,631.76 and 6,311.88 is: 9,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.57 : 10,631.76 = 6,311.88 : x
  2. Step 2: Convert to fraction form
    7,086.57/10,631.76 = 6,311.88/x
  3. Step 3: Cross multiply
    7,086.57x = 10,631.76 × 6,311.88
  4. Step 4: Simplify right side
    7,086.57x = 67,106,393.31
  5. Step 5: Solve for x
    x = 67,106,393.31/7,086.57
  6. Step 6: Final answer
    x = 9,469.52

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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.