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Finding the Fourth Proportional to 1,778.62, 2,454.42 and 992.65

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Solution

The fourth proportional to 1,778.62, 2,454.42 and 992.65 is: 1,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.62 : 2,454.42 = 992.65 : x
  2. Step 2: Convert to fraction form
    1,778.62/2,454.42 = 992.65/x
  3. Step 3: Cross multiply
    1,778.62x = 2,454.42 × 992.65
  4. Step 4: Simplify right side
    1,778.62x = 2,436,380.01
  5. Step 5: Solve for x
    x = 2,436,380.01/1,778.62
  6. Step 6: Final answer
    x = 1,369.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.