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Finding the Fourth Proportional to 11,757.14, 17,640.65 and 7,318.52

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Solution

The fourth proportional to 11,757.14, 17,640.65 and 7,318.52 is: 10,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.14 : 17,640.65 = 7,318.52 : x
  2. Step 2: Convert to fraction form
    11,757.14/17,640.65 = 7,318.52/x
  3. Step 3: Cross multiply
    11,757.14x = 17,640.65 × 7,318.52
  4. Step 4: Simplify right side
    11,757.14x = 129,103,449.84
  5. Step 5: Solve for x
    x = 129,103,449.84/11,757.14
  6. Step 6: Final answer
    x = 10,980.86

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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.