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Finding the Fourth Proportional to 2,414.79, 3,622.20 and 853.95

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Solution

The fourth proportional to 2,414.79, 3,622.20 and 853.95 is: 1,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.79 : 3,622.20 = 853.95 : x
  2. Step 2: Convert to fraction form
    2,414.79/3,622.20 = 853.95/x
  3. Step 3: Cross multiply
    2,414.79x = 3,622.20 × 853.95
  4. Step 4: Simplify right side
    2,414.79x = 3,093,177.69
  5. Step 5: Solve for x
    x = 3,093,177.69/2,414.79
  6. Step 6: Final answer
    x = 1,280.93

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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.