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Finding the Fourth Proportional to 2,271.46, 3,402.60 and 2,082.46

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Solution

The fourth proportional to 2,271.46, 3,402.60 and 2,082.46 is: 3,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.46 : 3,402.60 = 2,082.46 : x
  2. Step 2: Convert to fraction form
    2,271.46/3,402.60 = 2,082.46/x
  3. Step 3: Cross multiply
    2,271.46x = 3,402.60 × 2,082.46
  4. Step 4: Simplify right side
    2,271.46x = 7,085,778.40
  5. Step 5: Solve for x
    x = 7,085,778.40/2,271.46
  6. Step 6: Final answer
    x = 3,119.48

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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.