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Finding the Fourth Proportional to 7,490.78, 11,241.97 and 2,815.04

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Solution

The fourth proportional to 7,490.78, 11,241.97 and 2,815.04 is: 4,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.78 : 11,241.97 = 2,815.04 : x
  2. Step 2: Convert to fraction form
    7,490.78/11,241.97 = 2,815.04/x
  3. Step 3: Cross multiply
    7,490.78x = 11,241.97 × 2,815.04
  4. Step 4: Simplify right side
    7,490.78x = 31,646,584.70
  5. Step 5: Solve for x
    x = 31,646,584.70/7,490.78
  6. Step 6: Final answer
    x = 4,224.74

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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.