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Finding the Fourth Proportional to 7,758.78, 11,578.22 and 6,928.14

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Solution

The fourth proportional to 7,758.78, 11,578.22 and 6,928.14 is: 10,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.78 : 11,578.22 = 6,928.14 : x
  2. Step 2: Convert to fraction form
    7,758.78/11,578.22 = 6,928.14/x
  3. Step 3: Cross multiply
    7,758.78x = 11,578.22 × 6,928.14
  4. Step 4: Simplify right side
    7,758.78x = 80,215,494.47
  5. Step 5: Solve for x
    x = 80,215,494.47/7,758.78
  6. Step 6: Final answer
    x = 10,338.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.