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Finding the Fourth Proportional to 7,454, 11,181.81 and 2,837

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Solution

The fourth proportional to 7,454, 11,181.81 and 2,837 is: 4,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454 : 11,181.81 = 2,837 : x
  2. Step 2: Convert to fraction form
    7,454/11,181.81 = 2,837/x
  3. Step 3: Cross multiply
    7,454x = 11,181.81 × 2,837
  4. Step 4: Simplify right side
    7,454x = 31,722,794.97
  5. Step 5: Solve for x
    x = 31,722,794.97/7,454
  6. Step 6: Final answer
    x = 4,255.81

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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.