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Finding the Fourth Proportional to 2,154.89, 3,232.19 and 693.92

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Solution

The fourth proportional to 2,154.89, 3,232.19 and 693.92 is: 1,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.89 : 3,232.19 = 693.92 : x
  2. Step 2: Convert to fraction form
    2,154.89/3,232.19 = 693.92/x
  3. Step 3: Cross multiply
    2,154.89x = 3,232.19 × 693.92
  4. Step 4: Simplify right side
    2,154.89x = 2,242,861.65
  5. Step 5: Solve for x
    x = 2,242,861.65/2,154.89
  6. Step 6: Final answer
    x = 1,040.83

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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.