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Finding the Fourth Proportional to 3,656.64, 5,481.72 and 2,731.08

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Solution

The fourth proportional to 3,656.64, 5,481.72 and 2,731.08 is: 4,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.64 : 5,481.72 = 2,731.08 : x
  2. Step 2: Convert to fraction form
    3,656.64/5,481.72 = 2,731.08/x
  3. Step 3: Cross multiply
    3,656.64x = 5,481.72 × 2,731.08
  4. Step 4: Simplify right side
    3,656.64x = 14,971,015.86
  5. Step 5: Solve for x
    x = 14,971,015.86/3,656.64
  6. Step 6: Final answer
    x = 4,094.20

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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.