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Finding the Fourth Proportional to 2,720.40, 4,081.22 and 871.64

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Solution

The fourth proportional to 2,720.40, 4,081.22 and 871.64 is: 1,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.40 : 4,081.22 = 871.64 : x
  2. Step 2: Convert to fraction form
    2,720.40/4,081.22 = 871.64/x
  3. Step 3: Cross multiply
    2,720.40x = 4,081.22 × 871.64
  4. Step 4: Simplify right side
    2,720.40x = 3,557,354.60
  5. Step 5: Solve for x
    x = 3,557,354.60/2,720.40
  6. Step 6: Final answer
    x = 1,307.66

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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.