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Finding the Fourth Proportional to 2,753.78, 4,131.08 and 998.91

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Solution

The fourth proportional to 2,753.78, 4,131.08 and 998.91 is: 1,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.78 : 4,131.08 = 998.91 : x
  2. Step 2: Convert to fraction form
    2,753.78/4,131.08 = 998.91/x
  3. Step 3: Cross multiply
    2,753.78x = 4,131.08 × 998.91
  4. Step 4: Simplify right side
    2,753.78x = 4,126,572.13
  5. Step 5: Solve for x
    x = 4,126,572.13/2,753.78
  6. Step 6: Final answer
    x = 1,498.51

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1.5x scale

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.