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Finding the Fourth Proportional to 1,647.63, 2,471.85 and 1,161.63

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Solution

The fourth proportional to 1,647.63, 2,471.85 and 1,161.63 is: 1,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.63 : 2,471.85 = 1,161.63 : x
  2. Step 2: Convert to fraction form
    1,647.63/2,471.85 = 1,161.63/x
  3. Step 3: Cross multiply
    1,647.63x = 2,471.85 × 1,161.63
  4. Step 4: Simplify right side
    1,647.63x = 2,871,375.12
  5. Step 5: Solve for x
    x = 2,871,375.12/1,647.63
  6. Step 6: Final answer
    x = 1,742.73

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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.