Home / 1,519.50-2,279.96-826.14

Finding the Fourth Proportional to 1,519.50, 2,279.96 and 826.14

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Solution

The fourth proportional to 1,519.50, 2,279.96 and 826.14 is: 1,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.50 : 2,279.96 = 826.14 : x
  2. Step 2: Convert to fraction form
    1,519.50/2,279.96 = 826.14/x
  3. Step 3: Cross multiply
    1,519.50x = 2,279.96 × 826.14
  4. Step 4: Simplify right side
    1,519.50x = 1,883,566.15
  5. Step 5: Solve for x
    x = 1,883,566.15/1,519.50
  6. Step 6: Final answer
    x = 1,239.60

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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.