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Finding the Fourth Proportional to 5,165.12, 7,736.33 and 3,862.64

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Solution

The fourth proportional to 5,165.12, 7,736.33 and 3,862.64 is: 5,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.12 : 7,736.33 = 3,862.64 : x
  2. Step 2: Convert to fraction form
    5,165.12/7,736.33 = 3,862.64/x
  3. Step 3: Cross multiply
    5,165.12x = 7,736.33 × 3,862.64
  4. Step 4: Simplify right side
    5,165.12x = 29,882,599.72
  5. Step 5: Solve for x
    x = 29,882,599.72/5,165.12
  6. Step 6: Final answer
    x = 5,785.47

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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.