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Finding the Fourth Proportional to 7,922.70, 11,884.05 and 5,589.90

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Solution

The fourth proportional to 7,922.70, 11,884.05 and 5,589.90 is: 8,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.70 : 11,884.05 = 5,589.90 : x
  2. Step 2: Convert to fraction form
    7,922.70/11,884.05 = 5,589.90/x
  3. Step 3: Cross multiply
    7,922.70x = 11,884.05 × 5,589.90
  4. Step 4: Simplify right side
    7,922.70x = 66,430,651.10
  5. Step 5: Solve for x
    x = 66,430,651.10/7,922.70
  6. Step 6: Final answer
    x = 8,384.85

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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.