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Finding the Fourth Proportional to 2,211.14, 3,316.69 and 672.14

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Solution

The fourth proportional to 2,211.14, 3,316.69 and 672.14 is: 1,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.14 : 3,316.69 = 672.14 : x
  2. Step 2: Convert to fraction form
    2,211.14/3,316.69 = 672.14/x
  3. Step 3: Cross multiply
    2,211.14x = 3,316.69 × 672.14
  4. Step 4: Simplify right side
    2,211.14x = 2,229,280.02
  5. Step 5: Solve for x
    x = 2,229,280.02/2,211.14
  6. Step 6: Final answer
    x = 1,008.20

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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.