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Finding the Fourth Proportional to 7,481, 11,222.94 and 3,377

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Solution

The fourth proportional to 7,481, 11,222.94 and 3,377 is: 5,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481 : 11,222.94 = 3,377 : x
  2. Step 2: Convert to fraction form
    7,481/11,222.94 = 3,377/x
  3. Step 3: Cross multiply
    7,481x = 11,222.94 × 3,377
  4. Step 4: Simplify right side
    7,481x = 37,899,868.38
  5. Step 5: Solve for x
    x = 37,899,868.38/7,481
  6. Step 6: Final answer
    x = 5,066.15

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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.