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Finding the Fourth Proportional to 2,082.33, 3,120.98 and 911.83

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Solution

The fourth proportional to 2,082.33, 3,120.98 and 911.83 is: 1,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.33 : 3,120.98 = 911.83 : x
  2. Step 2: Convert to fraction form
    2,082.33/3,120.98 = 911.83/x
  3. Step 3: Cross multiply
    2,082.33x = 3,120.98 × 911.83
  4. Step 4: Simplify right side
    2,082.33x = 2,845,803.19
  5. Step 5: Solve for x
    x = 2,845,803.19/2,082.33
  6. Step 6: Final answer
    x = 1,366.64

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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.