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Finding the Fourth Proportional to 1,902.62, 2,849.88 and 1,080.47

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Solution

The fourth proportional to 1,902.62, 2,849.88 and 1,080.47 is: 1,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.62 : 2,849.88 = 1,080.47 : x
  2. Step 2: Convert to fraction form
    1,902.62/2,849.88 = 1,080.47/x
  3. Step 3: Cross multiply
    1,902.62x = 2,849.88 × 1,080.47
  4. Step 4: Simplify right side
    1,902.62x = 3,079,221.02
  5. Step 5: Solve for x
    x = 3,079,221.02/1,902.62
  6. Step 6: Final answer
    x = 1,618.41

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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.