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Finding the Fourth Proportional to 1,882.39, 2,823.97 and 649.85

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Solution

The fourth proportional to 1,882.39, 2,823.97 and 649.85 is: 974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.39 : 2,823.97 = 649.85 : x
  2. Step 2: Convert to fraction form
    1,882.39/2,823.97 = 649.85/x
  3. Step 3: Cross multiply
    1,882.39x = 2,823.97 × 649.85
  4. Step 4: Simplify right side
    1,882.39x = 1,835,146.60
  5. Step 5: Solve for x
    x = 1,835,146.60/1,882.39
  6. Step 6: Final answer
    x = 974.90

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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.