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Finding the Fourth Proportional to 5,380.96, 8,077.92 and 3,644.32

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Solution

The fourth proportional to 5,380.96, 8,077.92 and 3,644.32 is: 5,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.96 : 8,077.92 = 3,644.32 : x
  2. Step 2: Convert to fraction form
    5,380.96/8,077.92 = 3,644.32/x
  3. Step 3: Cross multiply
    5,380.96x = 8,077.92 × 3,644.32
  4. Step 4: Simplify right side
    5,380.96x = 29,438,525.41
  5. Step 5: Solve for x
    x = 29,438,525.41/5,380.96
  6. Step 6: Final answer
    x = 5,470.87

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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.