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Finding the Fourth Proportional to 2,149.65, 3,224.41 and 688.77

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Solution

The fourth proportional to 2,149.65, 3,224.41 and 688.77 is: 1,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.65 : 3,224.41 = 688.77 : x
  2. Step 2: Convert to fraction form
    2,149.65/3,224.41 = 688.77/x
  3. Step 3: Cross multiply
    2,149.65x = 3,224.41 × 688.77
  4. Step 4: Simplify right side
    2,149.65x = 2,220,875.15
  5. Step 5: Solve for x
    x = 2,220,875.15/2,149.65
  6. Step 6: Final answer
    x = 1,033.13

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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.