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Finding the Fourth Proportional to 7,949.76, 10,944.40 and 6,764

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Solution

The fourth proportional to 7,949.76, 10,944.40 and 6,764 is: 9,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.76 : 10,944.40 = 6,764 : x
  2. Step 2: Convert to fraction form
    7,949.76/10,944.40 = 6,764/x
  3. Step 3: Cross multiply
    7,949.76x = 10,944.40 × 6,764
  4. Step 4: Simplify right side
    7,949.76x = 74,027,921.60
  5. Step 5: Solve for x
    x = 74,027,921.60/7,949.76
  6. Step 6: Final answer
    x = 9,311.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.