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Finding the Fourth Proportional to 9,449.12, 13,039.16 and 5,199.36

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Solution

The fourth proportional to 9,449.12, 13,039.16 and 5,199.36 is: 7,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.12 : 13,039.16 = 5,199.36 : x
  2. Step 2: Convert to fraction form
    9,449.12/13,039.16 = 5,199.36/x
  3. Step 3: Cross multiply
    9,449.12x = 13,039.16 × 5,199.36
  4. Step 4: Simplify right side
    9,449.12x = 67,795,286.94
  5. Step 5: Solve for x
    x = 67,795,286.94/9,449.12
  6. Step 6: Final answer
    x = 7,174.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.