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Finding the Fourth Proportional to 7,378.56, 11,067.84 and 6,077.28

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Solution

The fourth proportional to 7,378.56, 11,067.84 and 6,077.28 is: 9,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.56 : 11,067.84 = 6,077.28 : x
  2. Step 2: Convert to fraction form
    7,378.56/11,067.84 = 6,077.28/x
  3. Step 3: Cross multiply
    7,378.56x = 11,067.84 × 6,077.28
  4. Step 4: Simplify right side
    7,378.56x = 67,262,362.68
  5. Step 5: Solve for x
    x = 67,262,362.68/7,378.56
  6. Step 6: Final answer
    x = 9,115.92

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Similar ratio
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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.