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Finding the Fourth Proportional to 5,490.06, 8,229.06 and 2,565.96

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Solution

The fourth proportional to 5,490.06, 8,229.06 and 2,565.96 is: 3,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.06 : 8,229.06 = 2,565.96 : x
  2. Step 2: Convert to fraction form
    5,490.06/8,229.06 = 2,565.96/x
  3. Step 3: Cross multiply
    5,490.06x = 8,229.06 × 2,565.96
  4. Step 4: Simplify right side
    5,490.06x = 21,115,438.80
  5. Step 5: Solve for x
    x = 21,115,438.80/5,490.06
  6. Step 6: Final answer
    x = 3,846.12

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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.