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Finding the Fourth Proportional to 2,226.82, 3,340.68 and 666.85

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Solution

The fourth proportional to 2,226.82, 3,340.68 and 666.85 is: 1,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.82 : 3,340.68 = 666.85 : x
  2. Step 2: Convert to fraction form
    2,226.82/3,340.68 = 666.85/x
  3. Step 3: Cross multiply
    2,226.82x = 3,340.68 × 666.85
  4. Step 4: Simplify right side
    2,226.82x = 2,227,732.46
  5. Step 5: Solve for x
    x = 2,227,732.46/2,226.82
  6. Step 6: Final answer
    x = 1,000.41

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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.