Home / 2,424.21-3,635.97-780.56

Finding the Fourth Proportional to 2,424.21, 3,635.97 and 780.56

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Solution

The fourth proportional to 2,424.21, 3,635.97 and 780.56 is: 1,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.21 : 3,635.97 = 780.56 : x
  2. Step 2: Convert to fraction form
    2,424.21/3,635.97 = 780.56/x
  3. Step 3: Cross multiply
    2,424.21x = 3,635.97 × 780.56
  4. Step 4: Simplify right side
    2,424.21x = 2,838,092.74
  5. Step 5: Solve for x
    x = 2,838,092.74/2,424.21
  6. Step 6: Final answer
    x = 1,170.73

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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.