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Finding the Fourth Proportional to 9,187.49, 13,780.49 and 2,945.82

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Solution

The fourth proportional to 9,187.49, 13,780.49 and 2,945.82 is: 4,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.49 : 13,780.49 = 2,945.82 : x
  2. Step 2: Convert to fraction form
    9,187.49/13,780.49 = 2,945.82/x
  3. Step 3: Cross multiply
    9,187.49x = 13,780.49 × 2,945.82
  4. Step 4: Simplify right side
    9,187.49x = 40,594,843.05
  5. Step 5: Solve for x
    x = 40,594,843.05/9,187.49
  6. Step 6: Final answer
    x = 4,418.49

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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.