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Finding the Fourth Proportional to 2,082.18, 3,123.88 and 783.75

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Solution

The fourth proportional to 2,082.18, 3,123.88 and 783.75 is: 1,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.18 : 3,123.88 = 783.75 : x
  2. Step 2: Convert to fraction form
    2,082.18/3,123.88 = 783.75/x
  3. Step 3: Cross multiply
    2,082.18x = 3,123.88 × 783.75
  4. Step 4: Simplify right side
    2,082.18x = 2,448,340.95
  5. Step 5: Solve for x
    x = 2,448,340.95/2,082.18
  6. Step 6: Final answer
    x = 1,175.85

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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.