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Finding the Fourth Proportional to 12,662.96, 17,481.95 and 8,419.84

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Solution

The fourth proportional to 12,662.96, 17,481.95 and 8,419.84 is: 11,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.96 : 17,481.95 = 8,419.84 : x
  2. Step 2: Convert to fraction form
    12,662.96/17,481.95 = 8,419.84/x
  3. Step 3: Cross multiply
    12,662.96x = 17,481.95 × 8,419.84
  4. Step 4: Simplify right side
    12,662.96x = 147,195,166.76
  5. Step 5: Solve for x
    x = 147,195,166.76/12,662.96
  6. Step 6: Final answer
    x = 11,624.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.