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Finding the Fourth Proportional to 12,662.80, 18,994.68 and 3,778

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Solution

The fourth proportional to 12,662.80, 18,994.68 and 3,778 is: 5,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.80 : 18,994.68 = 3,778 : x
  2. Step 2: Convert to fraction form
    12,662.80/18,994.68 = 3,778/x
  3. Step 3: Cross multiply
    12,662.80x = 18,994.68 × 3,778
  4. Step 4: Simplify right side
    12,662.80x = 71,761,901.04
  5. Step 5: Solve for x
    x = 71,761,901.04/12,662.80
  6. Step 6: Final answer
    x = 5,667.14

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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.