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Finding the Fourth Proportional to 2,082.56, 2,873.82 and 1,151

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Solution

The fourth proportional to 2,082.56, 2,873.82 and 1,151 is: 1,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.56 : 2,873.82 = 1,151 : x
  2. Step 2: Convert to fraction form
    2,082.56/2,873.82 = 1,151/x
  3. Step 3: Cross multiply
    2,082.56x = 2,873.82 × 1,151
  4. Step 4: Simplify right side
    2,082.56x = 3,307,766.82
  5. Step 5: Solve for x
    x = 3,307,766.82/2,082.56
  6. Step 6: Final answer
    x = 1,588.32

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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.