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Finding the Fourth Proportional to 2,039.92, 3,059.46 and 578.68

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Solution

The fourth proportional to 2,039.92, 3,059.46 and 578.68 is: 867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.92 : 3,059.46 = 578.68 : x
  2. Step 2: Convert to fraction form
    2,039.92/3,059.46 = 578.68/x
  3. Step 3: Cross multiply
    2,039.92x = 3,059.46 × 578.68
  4. Step 4: Simplify right side
    2,039.92x = 1,770,448.31
  5. Step 5: Solve for x
    x = 1,770,448.31/2,039.92
  6. Step 6: Final answer
    x = 867.90

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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.