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Finding the Fourth Proportional to 1,356.01, 2,034.01 and 1,286.75

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Solution

The fourth proportional to 1,356.01, 2,034.01 and 1,286.75 is: 1,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.01 : 2,034.01 = 1,286.75 : x
  2. Step 2: Convert to fraction form
    1,356.01/2,034.01 = 1,286.75/x
  3. Step 3: Cross multiply
    1,356.01x = 2,034.01 × 1,286.75
  4. Step 4: Simplify right side
    1,356.01x = 2,617,269.06
  5. Step 5: Solve for x
    x = 2,617,269.06/1,356.01
  6. Step 6: Final answer
    x = 1,930.13

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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.