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Finding the Fourth Proportional to 2,227.55, 3,340.09 and 912.23

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Solution

The fourth proportional to 2,227.55, 3,340.09 and 912.23 is: 1,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.55 : 3,340.09 = 912.23 : x
  2. Step 2: Convert to fraction form
    2,227.55/3,340.09 = 912.23/x
  3. Step 3: Cross multiply
    2,227.55x = 3,340.09 × 912.23
  4. Step 4: Simplify right side
    2,227.55x = 3,046,930.30
  5. Step 5: Solve for x
    x = 3,046,930.30/2,227.55
  6. Step 6: Final answer
    x = 1,367.84

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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.