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Finding the Fourth Proportional to 7,171.76, 10,752.64 and 3,662.84

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Solution

The fourth proportional to 7,171.76, 10,752.64 and 3,662.84 is: 5,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.76 : 10,752.64 = 3,662.84 : x
  2. Step 2: Convert to fraction form
    7,171.76/10,752.64 = 3,662.84/x
  3. Step 3: Cross multiply
    7,171.76x = 10,752.64 × 3,662.84
  4. Step 4: Simplify right side
    7,171.76x = 39,385,199.90
  5. Step 5: Solve for x
    x = 39,385,199.90/7,171.76
  6. Step 6: Final answer
    x = 5,491.71

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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.