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Finding the Fourth Proportional to 1,318.82, 1,974.56 and 1,113.48

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Solution

The fourth proportional to 1,318.82, 1,974.56 and 1,113.48 is: 1,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.82 : 1,974.56 = 1,113.48 : x
  2. Step 2: Convert to fraction form
    1,318.82/1,974.56 = 1,113.48/x
  3. Step 3: Cross multiply
    1,318.82x = 1,974.56 × 1,113.48
  4. Step 4: Simplify right side
    1,318.82x = 2,198,627.50
  5. Step 5: Solve for x
    x = 2,198,627.50/1,318.82
  6. Step 6: Final answer
    x = 1,667.12

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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.