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Finding the Fourth Proportional to 7,815, 11,716.42 and 3,863.53

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Solution

The fourth proportional to 7,815, 11,716.42 and 3,863.53 is: 5,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815 : 11,716.42 = 3,863.53 : x
  2. Step 2: Convert to fraction form
    7,815/11,716.42 = 3,863.53/x
  3. Step 3: Cross multiply
    7,815x = 11,716.42 × 3,863.53
  4. Step 4: Simplify right side
    7,815x = 45,266,740.16
  5. Step 5: Solve for x
    x = 45,266,740.16/7,815
  6. Step 6: Final answer
    x = 5,792.29

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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.