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Finding the Fourth Proportional to 12,643.92, 18,958.20 and 6,484.56

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Solution

The fourth proportional to 12,643.92, 18,958.20 and 6,484.56 is: 9,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.92 : 18,958.20 = 6,484.56 : x
  2. Step 2: Convert to fraction form
    12,643.92/18,958.20 = 6,484.56/x
  3. Step 3: Cross multiply
    12,643.92x = 18,958.20 × 6,484.56
  4. Step 4: Simplify right side
    12,643.92x = 122,935,585.39
  5. Step 5: Solve for x
    x = 122,935,585.39/12,643.92
  6. Step 6: Final answer
    x = 9,722.90

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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.