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Finding the Fourth Proportional to 3,589.64, 5,381.20 and 2,664.08

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Solution

The fourth proportional to 3,589.64, 5,381.20 and 2,664.08 is: 3,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.64 : 5,381.20 = 2,664.08 : x
  2. Step 2: Convert to fraction form
    3,589.64/5,381.20 = 2,664.08/x
  3. Step 3: Cross multiply
    3,589.64x = 5,381.20 × 2,664.08
  4. Step 4: Simplify right side
    3,589.64x = 14,335,947.30
  5. Step 5: Solve for x
    x = 14,335,947.30/3,589.64
  6. Step 6: Final answer
    x = 3,993.70

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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.