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Finding the Fourth Proportional to 7,311.60, 10,943.10 and 6,436.80

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Solution

The fourth proportional to 7,311.60, 10,943.10 and 6,436.80 is: 9,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.60 : 10,943.10 = 6,436.80 : x
  2. Step 2: Convert to fraction form
    7,311.60/10,943.10 = 6,436.80/x
  3. Step 3: Cross multiply
    7,311.60x = 10,943.10 × 6,436.80
  4. Step 4: Simplify right side
    7,311.60x = 70,438,546.08
  5. Step 5: Solve for x
    x = 70,438,546.08/7,311.60
  6. Step 6: Final answer
    x = 9,633.81

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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.