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Finding the Fourth Proportional to 3,254.95, 4,882.41 and 789.78

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Solution

The fourth proportional to 3,254.95, 4,882.41 and 789.78 is: 1,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.95 : 4,882.41 = 789.78 : x
  2. Step 2: Convert to fraction form
    3,254.95/4,882.41 = 789.78/x
  3. Step 3: Cross multiply
    3,254.95x = 4,882.41 × 789.78
  4. Step 4: Simplify right side
    3,254.95x = 3,856,048.08
  5. Step 5: Solve for x
    x = 3,856,048.08/3,254.95
  6. Step 6: Final answer
    x = 1,184.67

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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.