Home / 2,148.38-3,224.00-780.38

Finding the Fourth Proportional to 2,148.38, 3,224.00 and 780.38

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Solution

The fourth proportional to 2,148.38, 3,224.00 and 780.38 is: 1,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.38 : 3,224.00 = 780.38 : x
  2. Step 2: Convert to fraction form
    2,148.38/3,224.00 = 780.38/x
  3. Step 3: Cross multiply
    2,148.38x = 3,224.00 × 780.38
  4. Step 4: Simplify right side
    2,148.38x = 2,515,930.95
  5. Step 5: Solve for x
    x = 2,515,930.95/2,148.38
  6. Step 6: Final answer
    x = 1,171.09

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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.