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Finding the Fourth Proportional to 13,864, 20,796 and 3,475.76

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Solution

The fourth proportional to 13,864, 20,796 and 3,475.76 is: 5,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 20,796 = 3,475.76 : x
  2. Step 2: Convert to fraction form
    13,864/20,796 = 3,475.76/x
  3. Step 3: Cross multiply
    13,864x = 20,796 × 3,475.76
  4. Step 4: Simplify right side
    13,864x = 72,281,904.96
  5. Step 5: Solve for x
    x = 72,281,904.96/13,864
  6. Step 6: Final answer
    x = 5,213.64

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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.