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Finding the Fourth Proportional to 7,172.69, 10,763.28 and 3,885.71

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Solution

The fourth proportional to 7,172.69, 10,763.28 and 3,885.71 is: 5,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.69 : 10,763.28 = 3,885.71 : x
  2. Step 2: Convert to fraction form
    7,172.69/10,763.28 = 3,885.71/x
  3. Step 3: Cross multiply
    7,172.69x = 10,763.28 × 3,885.71
  4. Step 4: Simplify right side
    7,172.69x = 41,822,930.91
  5. Step 5: Solve for x
    x = 41,822,930.91/7,172.69
  6. Step 6: Final answer
    x = 5,830.86

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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.