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Finding the Fourth Proportional to 7,229.88, 9,978.21 and 4,086

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Solution

The fourth proportional to 7,229.88, 9,978.21 and 4,086 is: 5,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.88 : 9,978.21 = 4,086 : x
  2. Step 2: Convert to fraction form
    7,229.88/9,978.21 = 4,086/x
  3. Step 3: Cross multiply
    7,229.88x = 9,978.21 × 4,086
  4. Step 4: Simplify right side
    7,229.88x = 40,770,966.06
  5. Step 5: Solve for x
    x = 40,770,966.06/7,229.88
  6. Step 6: Final answer
    x = 5,639.23

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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.