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Finding the Fourth Proportional to 2,734.80, 4,101.80 and 1,347.78

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Solution

The fourth proportional to 2,734.80, 4,101.80 and 1,347.78 is: 2,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.80 : 4,101.80 = 1,347.78 : x
  2. Step 2: Convert to fraction form
    2,734.80/4,101.80 = 1,347.78/x
  3. Step 3: Cross multiply
    2,734.80x = 4,101.80 × 1,347.78
  4. Step 4: Simplify right side
    2,734.80x = 5,528,324.00
  5. Step 5: Solve for x
    x = 5,528,324.00/2,734.80
  6. Step 6: Final answer
    x = 2,021.47

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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.