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Finding the Fourth Proportional to 9,321.97, 13,985.39 and 3,478.63

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Solution

The fourth proportional to 9,321.97, 13,985.39 and 3,478.63 is: 5,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.97 : 13,985.39 = 3,478.63 : x
  2. Step 2: Convert to fraction form
    9,321.97/13,985.39 = 3,478.63/x
  3. Step 3: Cross multiply
    9,321.97x = 13,985.39 × 3,478.63
  4. Step 4: Simplify right side
    9,321.97x = 48,649,997.22
  5. Step 5: Solve for x
    x = 48,649,997.22/9,321.97
  6. Step 6: Final answer
    x = 5,218.85

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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.