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Finding the Fourth Proportional to 9,311.83, 13,978.68 and 5,418.97

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Solution

The fourth proportional to 9,311.83, 13,978.68 and 5,418.97 is: 8,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.83 : 13,978.68 = 5,418.97 : x
  2. Step 2: Convert to fraction form
    9,311.83/13,978.68 = 5,418.97/x
  3. Step 3: Cross multiply
    9,311.83x = 13,978.68 × 5,418.97
  4. Step 4: Simplify right side
    9,311.83x = 75,750,047.56
  5. Step 5: Solve for x
    x = 75,750,047.56/9,311.83
  6. Step 6: Final answer
    x = 8,134.82

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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.