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Finding the Fourth Proportional to 1,879.39, 2,819.90 and 1,013.50

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Solution

The fourth proportional to 1,879.39, 2,819.90 and 1,013.50 is: 1,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.39 : 2,819.90 = 1,013.50 : x
  2. Step 2: Convert to fraction form
    1,879.39/2,819.90 = 1,013.50/x
  3. Step 3: Cross multiply
    1,879.39x = 2,819.90 × 1,013.50
  4. Step 4: Simplify right side
    1,879.39x = 2,857,968.65
  5. Step 5: Solve for x
    x = 2,857,968.65/1,879.39
  6. Step 6: Final answer
    x = 1,520.69

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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.