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Finding the Fourth Proportional to 2,346.53, 3,519.33 and 680.85

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Solution

The fourth proportional to 2,346.53, 3,519.33 and 680.85 is: 1,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.53 : 3,519.33 = 680.85 : x
  2. Step 2: Convert to fraction form
    2,346.53/3,519.33 = 680.85/x
  3. Step 3: Cross multiply
    2,346.53x = 3,519.33 × 680.85
  4. Step 4: Simplify right side
    2,346.53x = 2,396,135.83
  5. Step 5: Solve for x
    x = 2,396,135.83/2,346.53
  6. Step 6: Final answer
    x = 1,021.14

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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.