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Finding the Fourth Proportional to 2,519.26, 3,779.30 and 876.78

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Solution

The fourth proportional to 2,519.26, 3,779.30 and 876.78 is: 1,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.26 : 3,779.30 = 876.78 : x
  2. Step 2: Convert to fraction form
    2,519.26/3,779.30 = 876.78/x
  3. Step 3: Cross multiply
    2,519.26x = 3,779.30 × 876.78
  4. Step 4: Simplify right side
    2,519.26x = 3,313,614.65
  5. Step 5: Solve for x
    x = 3,313,614.65/2,519.26
  6. Step 6: Final answer
    x = 1,315.31

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1.5x scale

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.