Home / 2,242.14-3,360.92-780.50

Finding the Fourth Proportional to 2,242.14, 3,360.92 and 780.50

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Solution

The fourth proportional to 2,242.14, 3,360.92 and 780.50 is: 1,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.14 : 3,360.92 = 780.50 : x
  2. Step 2: Convert to fraction form
    2,242.14/3,360.92 = 780.50/x
  3. Step 3: Cross multiply
    2,242.14x = 3,360.92 × 780.50
  4. Step 4: Simplify right side
    2,242.14x = 2,623,177.35
  5. Step 5: Solve for x
    x = 2,623,177.35/2,242.14
  6. Step 6: Final answer
    x = 1,169.94

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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.