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Finding the Fourth Proportional to 7,490.78, 11,238.33 and 2,297.42

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Solution

The fourth proportional to 7,490.78, 11,238.33 and 2,297.42 is: 3,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.78 : 11,238.33 = 2,297.42 : x
  2. Step 2: Convert to fraction form
    7,490.78/11,238.33 = 2,297.42/x
  3. Step 3: Cross multiply
    7,490.78x = 11,238.33 × 2,297.42
  4. Step 4: Simplify right side
    7,490.78x = 25,819,164.11
  5. Step 5: Solve for x
    x = 25,819,164.11/7,490.78
  6. Step 6: Final answer
    x = 3,446.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.