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Finding the Fourth Proportional to 2,082.69, 3,122.49 and 985.77

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Solution

The fourth proportional to 2,082.69, 3,122.49 and 985.77 is: 1,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.69 : 3,122.49 = 985.77 : x
  2. Step 2: Convert to fraction form
    2,082.69/3,122.49 = 985.77/x
  3. Step 3: Cross multiply
    2,082.69x = 3,122.49 × 985.77
  4. Step 4: Simplify right side
    2,082.69x = 3,078,056.97
  5. Step 5: Solve for x
    x = 3,078,056.97/2,082.69
  6. Step 6: Final answer
    x = 1,477.92

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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.