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Finding the Fourth Proportional to 9,236, 13,854 and 3,691.82

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Solution

The fourth proportional to 9,236, 13,854 and 3,691.82 is: 5,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236 : 13,854 = 3,691.82 : x
  2. Step 2: Convert to fraction form
    9,236/13,854 = 3,691.82/x
  3. Step 3: Cross multiply
    9,236x = 13,854 × 3,691.82
  4. Step 4: Simplify right side
    9,236x = 51,146,474.28
  5. Step 5: Solve for x
    x = 51,146,474.28/9,236
  6. Step 6: Final answer
    x = 5,537.73

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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.