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Finding the Fourth Proportional to 2,780, 4,171.60 and 1,241.04

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Solution

The fourth proportional to 2,780, 4,171.60 and 1,241.04 is: 1,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780 : 4,171.60 = 1,241.04 : x
  2. Step 2: Convert to fraction form
    2,780/4,171.60 = 1,241.04/x
  3. Step 3: Cross multiply
    2,780x = 4,171.60 × 1,241.04
  4. Step 4: Simplify right side
    2,780x = 5,177,122.46
  5. Step 5: Solve for x
    x = 5,177,122.46/2,780
  6. Step 6: Final answer
    x = 1,862.27

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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.