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Finding the Fourth Proportional to 3,884.63, 5,816.31 and 2,715.80

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Solution

The fourth proportional to 3,884.63, 5,816.31 and 2,715.80 is: 4,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.63 : 5,816.31 = 2,715.80 : x
  2. Step 2: Convert to fraction form
    3,884.63/5,816.31 = 2,715.80/x
  3. Step 3: Cross multiply
    3,884.63x = 5,816.31 × 2,715.80
  4. Step 4: Simplify right side
    3,884.63x = 15,795,895.43
  5. Step 5: Solve for x
    x = 15,795,895.43/3,884.63
  6. Step 6: Final answer
    x = 4,066.26

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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.