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Finding the Fourth Proportional to 3,863.28, 5,795.80 and 1,266.16

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Solution

The fourth proportional to 3,863.28, 5,795.80 and 1,266.16 is: 1,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.28 : 5,795.80 = 1,266.16 : x
  2. Step 2: Convert to fraction form
    3,863.28/5,795.80 = 1,266.16/x
  3. Step 3: Cross multiply
    3,863.28x = 5,795.80 × 1,266.16
  4. Step 4: Simplify right side
    3,863.28x = 7,338,410.13
  5. Step 5: Solve for x
    x = 7,338,410.13/3,863.28
  6. Step 6: Final answer
    x = 1,899.53

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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.