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Finding the Fourth Proportional to 13,873.22, 20,822.16 and 6,481.76

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Solution

The fourth proportional to 13,873.22, 20,822.16 and 6,481.76 is: 9,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.22 : 20,822.16 = 6,481.76 : x
  2. Step 2: Convert to fraction form
    13,873.22/20,822.16 = 6,481.76/x
  3. Step 3: Cross multiply
    13,873.22x = 20,822.16 × 6,481.76
  4. Step 4: Simplify right side
    13,873.22x = 134,964,243.80
  5. Step 5: Solve for x
    x = 134,964,243.80/13,873.22
  6. Step 6: Final answer
    x = 9,728.40

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1.5x scale

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.