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Finding the Fourth Proportional to 2,149.51, 3,224.73 and 688.78

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Solution

The fourth proportional to 2,149.51, 3,224.73 and 688.78 is: 1,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.51 : 3,224.73 = 688.78 : x
  2. Step 2: Convert to fraction form
    2,149.51/3,224.73 = 688.78/x
  3. Step 3: Cross multiply
    2,149.51x = 3,224.73 × 688.78
  4. Step 4: Simplify right side
    2,149.51x = 2,221,129.53
  5. Step 5: Solve for x
    x = 2,221,129.53/2,149.51
  6. Step 6: Final answer
    x = 1,033.32

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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.