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Finding the Fourth Proportional to 2,049.25, 3,074.58 and 879.21

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Solution

The fourth proportional to 2,049.25, 3,074.58 and 879.21 is: 1,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.25 : 3,074.58 = 879.21 : x
  2. Step 2: Convert to fraction form
    2,049.25/3,074.58 = 879.21/x
  3. Step 3: Cross multiply
    2,049.25x = 3,074.58 × 879.21
  4. Step 4: Simplify right side
    2,049.25x = 2,703,186.11
  5. Step 5: Solve for x
    x = 2,703,186.11/2,049.25
  6. Step 6: Final answer
    x = 1,319.11

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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.