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Finding the Fourth Proportional to 2,227.98, 3,339.87 and 766.11

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Solution

The fourth proportional to 2,227.98, 3,339.87 and 766.11 is: 1,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.98 : 3,339.87 = 766.11 : x
  2. Step 2: Convert to fraction form
    2,227.98/3,339.87 = 766.11/x
  3. Step 3: Cross multiply
    2,227.98x = 3,339.87 × 766.11
  4. Step 4: Simplify right side
    2,227.98x = 2,558,687.28
  5. Step 5: Solve for x
    x = 2,558,687.28/2,227.98
  6. Step 6: Final answer
    x = 1,148.44

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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.