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Finding the Fourth Proportional to 7,952.82, 11,916.78 and 3,019.78

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Solution

The fourth proportional to 7,952.82, 11,916.78 and 3,019.78 is: 4,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.82 : 11,916.78 = 3,019.78 : x
  2. Step 2: Convert to fraction form
    7,952.82/11,916.78 = 3,019.78/x
  3. Step 3: Cross multiply
    7,952.82x = 11,916.78 × 3,019.78
  4. Step 4: Simplify right side
    7,952.82x = 35,986,053.91
  5. Step 5: Solve for x
    x = 35,986,053.91/7,952.82
  6. Step 6: Final answer
    x = 4,524.94

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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.