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Finding the Fourth Proportional to 2,091.80, 3,135.32 and 994.61

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Solution

The fourth proportional to 2,091.80, 3,135.32 and 994.61 is: 1,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.80 : 3,135.32 = 994.61 : x
  2. Step 2: Convert to fraction form
    2,091.80/3,135.32 = 994.61/x
  3. Step 3: Cross multiply
    2,091.80x = 3,135.32 × 994.61
  4. Step 4: Simplify right side
    2,091.80x = 3,118,415.65
  5. Step 5: Solve for x
    x = 3,118,415.65/2,091.80
  6. Step 6: Final answer
    x = 1,490.78

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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.