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Finding the Fourth Proportional to 2,255.76, 3,384.36 and 2,082

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Solution

The fourth proportional to 2,255.76, 3,384.36 and 2,082 is: 3,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.76 : 3,384.36 = 2,082 : x
  2. Step 2: Convert to fraction form
    2,255.76/3,384.36 = 2,082/x
  3. Step 3: Cross multiply
    2,255.76x = 3,384.36 × 2,082
  4. Step 4: Simplify right side
    2,255.76x = 7,046,237.52
  5. Step 5: Solve for x
    x = 7,046,237.52/2,255.76
  6. Step 6: Final answer
    x = 3,123.66

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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.