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Finding the Fourth Proportional to 2,149.60, 3,224.31 and 689.08

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Solution

The fourth proportional to 2,149.60, 3,224.31 and 689.08 is: 1,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.60 : 3,224.31 = 689.08 : x
  2. Step 2: Convert to fraction form
    2,149.60/3,224.31 = 689.08/x
  3. Step 3: Cross multiply
    2,149.60x = 3,224.31 × 689.08
  4. Step 4: Simplify right side
    2,149.60x = 2,221,807.53
  5. Step 5: Solve for x
    x = 2,221,807.53/2,149.60
  6. Step 6: Final answer
    x = 1,033.59

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1.5x scale

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.