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Finding the Fourth Proportional to 2,149.36, 3,224.44 and 688.88

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Solution

The fourth proportional to 2,149.36, 3,224.44 and 688.88 is: 1,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.36 : 3,224.44 = 688.88 : x
  2. Step 2: Convert to fraction form
    2,149.36/3,224.44 = 688.88/x
  3. Step 3: Cross multiply
    2,149.36x = 3,224.44 × 688.88
  4. Step 4: Simplify right side
    2,149.36x = 2,221,252.23
  5. Step 5: Solve for x
    x = 2,221,252.23/2,149.36
  6. Step 6: Final answer
    x = 1,033.45

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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.