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Finding the Fourth Proportional to 9,486.78, 14,231.26 and 3,939.40

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Solution

The fourth proportional to 9,486.78, 14,231.26 and 3,939.40 is: 5,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.78 : 14,231.26 = 3,939.40 : x
  2. Step 2: Convert to fraction form
    9,486.78/14,231.26 = 3,939.40/x
  3. Step 3: Cross multiply
    9,486.78x = 14,231.26 × 3,939.40
  4. Step 4: Simplify right side
    9,486.78x = 56,062,625.64
  5. Step 5: Solve for x
    x = 56,062,625.64/9,486.78
  6. Step 6: Final answer
    x = 5,909.55

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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.