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Finding the Fourth Proportional to 2,789.87, 3,850.05 and 1,530.90

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Solution

The fourth proportional to 2,789.87, 3,850.05 and 1,530.90 is: 2,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.87 : 3,850.05 = 1,530.90 : x
  2. Step 2: Convert to fraction form
    2,789.87/3,850.05 = 1,530.90/x
  3. Step 3: Cross multiply
    2,789.87x = 3,850.05 × 1,530.90
  4. Step 4: Simplify right side
    2,789.87x = 5,894,022.29
  5. Step 5: Solve for x
    x = 5,894,022.29/2,789.87
  6. Step 6: Final answer
    x = 2,112.66

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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.