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Finding the Fourth Proportional to 1,745.71, 2,408.74 and 1,082.72

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Solution

The fourth proportional to 1,745.71, 2,408.74 and 1,082.72 is: 1,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.71 : 2,408.74 = 1,082.72 : x
  2. Step 2: Convert to fraction form
    1,745.71/2,408.74 = 1,082.72/x
  3. Step 3: Cross multiply
    1,745.71x = 2,408.74 × 1,082.72
  4. Step 4: Simplify right side
    1,745.71x = 2,607,990.97
  5. Step 5: Solve for x
    x = 2,607,990.97/1,745.71
  6. Step 6: Final answer
    x = 1,493.94

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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.