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Finding the Fourth Proportional to 7,984.97, 11,978.81 and 4,473.47

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Solution

The fourth proportional to 7,984.97, 11,978.81 and 4,473.47 is: 6,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.97 : 11,978.81 = 4,473.47 : x
  2. Step 2: Convert to fraction form
    7,984.97/11,978.81 = 4,473.47/x
  3. Step 3: Cross multiply
    7,984.97x = 11,978.81 × 4,473.47
  4. Step 4: Simplify right side
    7,984.97x = 53,586,764.91
  5. Step 5: Solve for x
    x = 53,586,764.91/7,984.97
  6. Step 6: Final answer
    x = 6,710.96

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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.