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Finding the Fourth Proportional to 2,770.87, 4,158.81 and 1,879.24

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Solution

The fourth proportional to 2,770.87, 4,158.81 and 1,879.24 is: 2,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.87 : 4,158.81 = 1,879.24 : x
  2. Step 2: Convert to fraction form
    2,770.87/4,158.81 = 1,879.24/x
  3. Step 3: Cross multiply
    2,770.87x = 4,158.81 × 1,879.24
  4. Step 4: Simplify right side
    2,770.87x = 7,815,392.71
  5. Step 5: Solve for x
    x = 7,815,392.71/2,770.87
  6. Step 6: Final answer
    x = 2,820.56

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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.