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Finding the Fourth Proportional to 2,418.95, 3,626.12 and 857.95

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Solution

The fourth proportional to 2,418.95, 3,626.12 and 857.95 is: 1,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.95 : 3,626.12 = 857.95 : x
  2. Step 2: Convert to fraction form
    2,418.95/3,626.12 = 857.95/x
  3. Step 3: Cross multiply
    2,418.95x = 3,626.12 × 857.95
  4. Step 4: Simplify right side
    2,418.95x = 3,111,022.73
  5. Step 5: Solve for x
    x = 3,111,022.73/2,418.95
  6. Step 6: Final answer
    x = 1,286.10

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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.