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Finding the Fourth Proportional to 2,082.53, 3,121.97 and 784.91

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Solution

The fourth proportional to 2,082.53, 3,121.97 and 784.91 is: 1,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.53 : 3,121.97 = 784.91 : x
  2. Step 2: Convert to fraction form
    2,082.53/3,121.97 = 784.91/x
  3. Step 3: Cross multiply
    2,082.53x = 3,121.97 × 784.91
  4. Step 4: Simplify right side
    2,082.53x = 2,450,465.47
  5. Step 5: Solve for x
    x = 2,450,465.47/2,082.53
  6. Step 6: Final answer
    x = 1,176.68

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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.