Home / 2,277.18-3,412.94-814.73

Finding the Fourth Proportional to 2,277.18, 3,412.94 and 814.73

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Solution

The fourth proportional to 2,277.18, 3,412.94 and 814.73 is: 1,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.18 : 3,412.94 = 814.73 : x
  2. Step 2: Convert to fraction form
    2,277.18/3,412.94 = 814.73/x
  3. Step 3: Cross multiply
    2,277.18x = 3,412.94 × 814.73
  4. Step 4: Simplify right side
    2,277.18x = 2,780,603.47
  5. Step 5: Solve for x
    x = 2,780,603.47/2,277.18
  6. Step 6: Final answer
    x = 1,221.07

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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.