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Finding the Fourth Proportional to 7,266.91, 10,902.18 and 2,072.78

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Solution

The fourth proportional to 7,266.91, 10,902.18 and 2,072.78 is: 3,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.91 : 10,902.18 = 2,072.78 : x
  2. Step 2: Convert to fraction form
    7,266.91/10,902.18 = 2,072.78/x
  3. Step 3: Cross multiply
    7,266.91x = 10,902.18 × 2,072.78
  4. Step 4: Simplify right side
    7,266.91x = 22,597,820.66
  5. Step 5: Solve for x
    x = 22,597,820.66/7,266.91
  6. Step 6: Final answer
    x = 3,109.69

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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.