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Finding the Fourth Proportional to 6,978.87, 10,468.28 and 6,628.49

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Solution

The fourth proportional to 6,978.87, 10,468.28 and 6,628.49 is: 9,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.87 : 10,468.28 = 6,628.49 : x
  2. Step 2: Convert to fraction form
    6,978.87/10,468.28 = 6,628.49/x
  3. Step 3: Cross multiply
    6,978.87x = 10,468.28 × 6,628.49
  4. Step 4: Simplify right side
    6,978.87x = 69,388,889.30
  5. Step 5: Solve for x
    x = 69,388,889.30/6,978.87
  6. Step 6: Final answer
    x = 9,942.71

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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.