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Finding the Fourth Proportional to 9,311.72, 12,850.26 and 5,120

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Solution

The fourth proportional to 9,311.72, 12,850.26 and 5,120 is: 7,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.72 : 12,850.26 = 5,120 : x
  2. Step 2: Convert to fraction form
    9,311.72/12,850.26 = 5,120/x
  3. Step 3: Cross multiply
    9,311.72x = 12,850.26 × 5,120
  4. Step 4: Simplify right side
    9,311.72x = 65,793,331.20
  5. Step 5: Solve for x
    x = 65,793,331.20/9,311.72
  6. Step 6: Final answer
    x = 7,065.65

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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.