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Finding the Fourth Proportional to 3,166.80, 4,749.81 and 1,318.14

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Solution

The fourth proportional to 3,166.80, 4,749.81 and 1,318.14 is: 1,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.80 : 4,749.81 = 1,318.14 : x
  2. Step 2: Convert to fraction form
    3,166.80/4,749.81 = 1,318.14/x
  3. Step 3: Cross multiply
    3,166.80x = 4,749.81 × 1,318.14
  4. Step 4: Simplify right side
    3,166.80x = 6,260,914.55
  5. Step 5: Solve for x
    x = 6,260,914.55/3,166.80
  6. Step 6: Final answer
    x = 1,977.05

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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.