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Finding the Fourth Proportional to 9,097.38, 13,643.10 and 3,252.96

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Solution

The fourth proportional to 9,097.38, 13,643.10 and 3,252.96 is: 4,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.38 : 13,643.10 = 3,252.96 : x
  2. Step 2: Convert to fraction form
    9,097.38/13,643.10 = 3,252.96/x
  3. Step 3: Cross multiply
    9,097.38x = 13,643.10 × 3,252.96
  4. Step 4: Simplify right side
    9,097.38x = 44,380,458.58
  5. Step 5: Solve for x
    x = 44,380,458.58/9,097.38
  6. Step 6: Final answer
    x = 4,878.38

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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.