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Finding the Fourth Proportional to 7,923.92, 11,886.02 and 7,442.78

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Solution

The fourth proportional to 7,923.92, 11,886.02 and 7,442.78 is: 11,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.92 : 11,886.02 = 7,442.78 : x
  2. Step 2: Convert to fraction form
    7,923.92/11,886.02 = 7,442.78/x
  3. Step 3: Cross multiply
    7,923.92x = 11,886.02 × 7,442.78
  4. Step 4: Simplify right side
    7,923.92x = 88,464,994.72
  5. Step 5: Solve for x
    x = 88,464,994.72/7,923.92
  6. Step 6: Final answer
    x = 11,164.30

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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.