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Finding the Fourth Proportional to 3,789.68, 5,680.86 and 2,329.24

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Solution

The fourth proportional to 3,789.68, 5,680.86 and 2,329.24 is: 3,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.68 : 5,680.86 = 2,329.24 : x
  2. Step 2: Convert to fraction form
    3,789.68/5,680.86 = 2,329.24/x
  3. Step 3: Cross multiply
    3,789.68x = 5,680.86 × 2,329.24
  4. Step 4: Simplify right side
    3,789.68x = 13,232,086.35
  5. Step 5: Solve for x
    x = 13,232,086.35/3,789.68
  6. Step 6: Final answer
    x = 3,491.61

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1.5x scale

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.