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Finding the Fourth Proportional to 2,699.92, 4,050.42 and 968.68

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Solution

The fourth proportional to 2,699.92, 4,050.42 and 968.68 is: 1,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.92 : 4,050.42 = 968.68 : x
  2. Step 2: Convert to fraction form
    2,699.92/4,050.42 = 968.68/x
  3. Step 3: Cross multiply
    2,699.92x = 4,050.42 × 968.68
  4. Step 4: Simplify right side
    2,699.92x = 3,923,560.85
  5. Step 5: Solve for x
    x = 3,923,560.85/2,699.92
  6. Step 6: Final answer
    x = 1,453.21

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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.