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Finding the Fourth Proportional to 2,753.49, 3,800.19 and 1,913.73

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Solution

The fourth proportional to 2,753.49, 3,800.19 and 1,913.73 is: 2,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.49 : 3,800.19 = 1,913.73 : x
  2. Step 2: Convert to fraction form
    2,753.49/3,800.19 = 1,913.73/x
  3. Step 3: Cross multiply
    2,753.49x = 3,800.19 × 1,913.73
  4. Step 4: Simplify right side
    2,753.49x = 7,272,537.61
  5. Step 5: Solve for x
    x = 7,272,537.61/2,753.49
  6. Step 6: Final answer
    x = 2,641.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.