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Finding the Fourth Proportional to 3,877.23, 5,815.23 and 3,223.29

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Solution

The fourth proportional to 3,877.23, 5,815.23 and 3,223.29 is: 4,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.23 : 5,815.23 = 3,223.29 : x
  2. Step 2: Convert to fraction form
    3,877.23/5,815.23 = 3,223.29/x
  3. Step 3: Cross multiply
    3,877.23x = 5,815.23 × 3,223.29
  4. Step 4: Simplify right side
    3,877.23x = 18,744,172.71
  5. Step 5: Solve for x
    x = 18,744,172.71/3,877.23
  6. Step 6: Final answer
    x = 4,834.42

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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.