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Finding the Fourth Proportional to 9,172.49, 13,755.23 and 3,904.16

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Solution

The fourth proportional to 9,172.49, 13,755.23 and 3,904.16 is: 5,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.49 : 13,755.23 = 3,904.16 : x
  2. Step 2: Convert to fraction form
    9,172.49/13,755.23 = 3,904.16/x
  3. Step 3: Cross multiply
    9,172.49x = 13,755.23 × 3,904.16
  4. Step 4: Simplify right side
    9,172.49x = 53,702,633.62
  5. Step 5: Solve for x
    x = 53,702,633.62/9,172.49
  6. Step 6: Final answer
    x = 5,854.75

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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.