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Finding the Fourth Proportional to 9,326.27, 13,979.31 and 4,649.78

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Solution

The fourth proportional to 9,326.27, 13,979.31 and 4,649.78 is: 6,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.27 : 13,979.31 = 4,649.78 : x
  2. Step 2: Convert to fraction form
    9,326.27/13,979.31 = 4,649.78/x
  3. Step 3: Cross multiply
    9,326.27x = 13,979.31 × 4,649.78
  4. Step 4: Simplify right side
    9,326.27x = 65,000,716.05
  5. Step 5: Solve for x
    x = 65,000,716.05/9,326.27
  6. Step 6: Final answer
    x = 6,969.64

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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.