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Finding the Fourth Proportional to 3,872.32, 5,808.48 and 2,723.20

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Solution

The fourth proportional to 3,872.32, 5,808.48 and 2,723.20 is: 4,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.32 : 5,808.48 = 2,723.20 : x
  2. Step 2: Convert to fraction form
    3,872.32/5,808.48 = 2,723.20/x
  3. Step 3: Cross multiply
    3,872.32x = 5,808.48 × 2,723.20
  4. Step 4: Simplify right side
    3,872.32x = 15,817,652.74
  5. Step 5: Solve for x
    x = 15,817,652.74/3,872.32
  6. Step 6: Final answer
    x = 4,084.80

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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.