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Finding the Fourth Proportional to 2,753.88, 3,805.38 and 2,006.54

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Solution

The fourth proportional to 2,753.88, 3,805.38 and 2,006.54 is: 2,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.88 : 3,805.38 = 2,006.54 : x
  2. Step 2: Convert to fraction form
    2,753.88/3,805.38 = 2,006.54/x
  3. Step 3: Cross multiply
    2,753.88x = 3,805.38 × 2,006.54
  4. Step 4: Simplify right side
    2,753.88x = 7,635,642.43
  5. Step 5: Solve for x
    x = 7,635,642.43/2,753.88
  6. Step 6: Final answer
    x = 2,772.68

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1.5x scale

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.