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Finding the Fourth Proportional to 2,149.76, 3,223.94 and 688.56

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Solution

The fourth proportional to 2,149.76, 3,223.94 and 688.56 is: 1,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.76 : 3,223.94 = 688.56 : x
  2. Step 2: Convert to fraction form
    2,149.76/3,223.94 = 688.56/x
  3. Step 3: Cross multiply
    2,149.76x = 3,223.94 × 688.56
  4. Step 4: Simplify right side
    2,149.76x = 2,219,876.13
  5. Step 5: Solve for x
    x = 2,219,876.13/2,149.76
  6. Step 6: Final answer
    x = 1,032.62

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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.