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Finding the Fourth Proportional to 7,923.42, 11,885.27 and 7,442.28

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Solution

The fourth proportional to 7,923.42, 11,885.27 and 7,442.28 is: 11,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.42 : 11,885.27 = 7,442.28 : x
  2. Step 2: Convert to fraction form
    7,923.42/11,885.27 = 7,442.28/x
  3. Step 3: Cross multiply
    7,923.42x = 11,885.27 × 7,442.28
  4. Step 4: Simplify right side
    7,923.42x = 88,453,470.00
  5. Step 5: Solve for x
    x = 88,453,470.00/7,923.42
  6. Step 6: Final answer
    x = 11,163.55

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Half scale
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Double scale
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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.