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Finding the Fourth Proportional to 7,382.19, 11,074.65 and 2,116.98

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Solution

The fourth proportional to 7,382.19, 11,074.65 and 2,116.98 is: 3,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.19 : 11,074.65 = 2,116.98 : x
  2. Step 2: Convert to fraction form
    7,382.19/11,074.65 = 2,116.98/x
  3. Step 3: Cross multiply
    7,382.19x = 11,074.65 × 2,116.98
  4. Step 4: Simplify right side
    7,382.19x = 23,444,812.56
  5. Step 5: Solve for x
    x = 23,444,812.56/7,382.19
  6. Step 6: Final answer
    x = 3,175.86

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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.