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Finding the Fourth Proportional to 9,196.26, 13,801.32 and 6,737.38

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Solution

The fourth proportional to 9,196.26, 13,801.32 and 6,737.38 is: 10,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.26 : 13,801.32 = 6,737.38 : x
  2. Step 2: Convert to fraction form
    9,196.26/13,801.32 = 6,737.38/x
  3. Step 3: Cross multiply
    9,196.26x = 13,801.32 × 6,737.38
  4. Step 4: Simplify right side
    9,196.26x = 92,984,737.34
  5. Step 5: Solve for x
    x = 92,984,737.34/9,196.26
  6. Step 6: Final answer
    x = 10,111.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.