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Finding the Fourth Proportional to 5,371.29, 8,069.29 and 3,815.08

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Solution

The fourth proportional to 5,371.29, 8,069.29 and 3,815.08 is: 5,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.29 : 8,069.29 = 3,815.08 : x
  2. Step 2: Convert to fraction form
    5,371.29/8,069.29 = 3,815.08/x
  3. Step 3: Cross multiply
    5,371.29x = 8,069.29 × 3,815.08
  4. Step 4: Simplify right side
    5,371.29x = 30,784,957.18
  5. Step 5: Solve for x
    x = 30,784,957.18/5,371.29
  6. Step 6: Final answer
    x = 5,731.39

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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.