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Finding the Fourth Proportional to 3,400.87, 4,694.86 and 2,642.86

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Solution

The fourth proportional to 3,400.87, 4,694.86 and 2,642.86 is: 3,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.87 : 4,694.86 = 2,642.86 : x
  2. Step 2: Convert to fraction form
    3,400.87/4,694.86 = 2,642.86/x
  3. Step 3: Cross multiply
    3,400.87x = 4,694.86 × 2,642.86
  4. Step 4: Simplify right side
    3,400.87x = 12,407,866.87
  5. Step 5: Solve for x
    x = 12,407,866.87/3,400.87
  6. Step 6: Final answer
    x = 3,648.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.