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Finding the Fourth Proportional to 2,720.25, 4,080.84 and 871.41

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Solution

The fourth proportional to 2,720.25, 4,080.84 and 871.41 is: 1,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.25 : 4,080.84 = 871.41 : x
  2. Step 2: Convert to fraction form
    2,720.25/4,080.84 = 871.41/x
  3. Step 3: Cross multiply
    2,720.25x = 4,080.84 × 871.41
  4. Step 4: Simplify right side
    2,720.25x = 3,556,084.78
  5. Step 5: Solve for x
    x = 3,556,084.78/2,720.25
  6. Step 6: Final answer
    x = 1,307.26

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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.