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Finding the Fourth Proportional to 13,647.40, 20,481.90 and 5,331.40

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Solution

The fourth proportional to 13,647.40, 20,481.90 and 5,331.40 is: 8,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.40 : 20,481.90 = 5,331.40 : x
  2. Step 2: Convert to fraction form
    13,647.40/20,481.90 = 5,331.40/x
  3. Step 3: Cross multiply
    13,647.40x = 20,481.90 × 5,331.40
  4. Step 4: Simplify right side
    13,647.40x = 109,197,201.66
  5. Step 5: Solve for x
    x = 109,197,201.66/13,647.40
  6. Step 6: Final answer
    x = 8,001.32

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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.