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Finding the Fourth Proportional to 2,227.33, 3,339.39 and 840.57

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Solution

The fourth proportional to 2,227.33, 3,339.39 and 840.57 is: 1,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.33 : 3,339.39 = 840.57 : x
  2. Step 2: Convert to fraction form
    2,227.33/3,339.39 = 840.57/x
  3. Step 3: Cross multiply
    2,227.33x = 3,339.39 × 840.57
  4. Step 4: Simplify right side
    2,227.33x = 2,806,991.05
  5. Step 5: Solve for x
    x = 2,806,991.05/2,227.33
  6. Step 6: Final answer
    x = 1,260.25

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1.5x scale

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.