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Finding the Fourth Proportional to 2,251, 3,371.56 and 1,856.55

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Solution

The fourth proportional to 2,251, 3,371.56 and 1,856.55 is: 2,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251 : 3,371.56 = 1,856.55 : x
  2. Step 2: Convert to fraction form
    2,251/3,371.56 = 1,856.55/x
  3. Step 3: Cross multiply
    2,251x = 3,371.56 × 1,856.55
  4. Step 4: Simplify right side
    2,251x = 6,259,469.72
  5. Step 5: Solve for x
    x = 6,259,469.72/2,251
  6. Step 6: Final answer
    x = 2,780.75

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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.