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Finding the Fourth Proportional to 3,585.64, 5,375.20 and 2,660.08

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Solution

The fourth proportional to 3,585.64, 5,375.20 and 2,660.08 is: 3,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.64 : 5,375.20 = 2,660.08 : x
  2. Step 2: Convert to fraction form
    3,585.64/5,375.20 = 2,660.08/x
  3. Step 3: Cross multiply
    3,585.64x = 5,375.20 × 2,660.08
  4. Step 4: Simplify right side
    3,585.64x = 14,298,462.02
  5. Step 5: Solve for x
    x = 14,298,462.02/3,585.64
  6. Step 6: Final answer
    x = 3,987.70

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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.