Home / 2,154.25-3,231.38-693.55

Finding the Fourth Proportional to 2,154.25, 3,231.38 and 693.55

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Solution

The fourth proportional to 2,154.25, 3,231.38 and 693.55 is: 1,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.25 : 3,231.38 = 693.55 : x
  2. Step 2: Convert to fraction form
    2,154.25/3,231.38 = 693.55/x
  3. Step 3: Cross multiply
    2,154.25x = 3,231.38 × 693.55
  4. Step 4: Simplify right side
    2,154.25x = 2,241,123.60
  5. Step 5: Solve for x
    x = 2,241,123.60/2,154.25
  6. Step 6: Final answer
    x = 1,040.33

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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.