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Finding the Fourth Proportional to 2,767.72, 4,151.58 and 2,191

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Solution

The fourth proportional to 2,767.72, 4,151.58 and 2,191 is: 3,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.72 : 4,151.58 = 2,191 : x
  2. Step 2: Convert to fraction form
    2,767.72/4,151.58 = 2,191/x
  3. Step 3: Cross multiply
    2,767.72x = 4,151.58 × 2,191
  4. Step 4: Simplify right side
    2,767.72x = 9,096,111.78
  5. Step 5: Solve for x
    x = 9,096,111.78/2,767.72
  6. Step 6: Final answer
    x = 3,286.50

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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.