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Finding the Fourth Proportional to 6,978.28, 9,631.66 and 3,995.82

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Solution

The fourth proportional to 6,978.28, 9,631.66 and 3,995.82 is: 5,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.28 : 9,631.66 = 3,995.82 : x
  2. Step 2: Convert to fraction form
    6,978.28/9,631.66 = 3,995.82/x
  3. Step 3: Cross multiply
    6,978.28x = 9,631.66 × 3,995.82
  4. Step 4: Simplify right side
    6,978.28x = 38,486,379.66
  5. Step 5: Solve for x
    x = 38,486,379.66/6,978.28
  6. Step 6: Final answer
    x = 5,515.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.