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Finding the Fourth Proportional to 2,245.95, 3,098.81 and 1,251

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Solution

The fourth proportional to 2,245.95, 3,098.81 and 1,251 is: 1,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.95 : 3,098.81 = 1,251 : x
  2. Step 2: Convert to fraction form
    2,245.95/3,098.81 = 1,251/x
  3. Step 3: Cross multiply
    2,245.95x = 3,098.81 × 1,251
  4. Step 4: Simplify right side
    2,245.95x = 3,876,614.44
  5. Step 5: Solve for x
    x = 3,876,614.44/2,245.95
  6. Step 6: Final answer
    x = 1,726.05

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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.