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Finding the Fourth Proportional to 7,168.14, 10,747.80 and 3,218.64

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Solution

The fourth proportional to 7,168.14, 10,747.80 and 3,218.64 is: 4,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.14 : 10,747.80 = 3,218.64 : x
  2. Step 2: Convert to fraction form
    7,168.14/10,747.80 = 3,218.64/x
  3. Step 3: Cross multiply
    7,168.14x = 10,747.80 × 3,218.64
  4. Step 4: Simplify right side
    7,168.14x = 34,593,298.99
  5. Step 5: Solve for x
    x = 34,593,298.99/7,168.14
  6. Step 6: Final answer
    x = 4,825.98

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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.