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Finding the Fourth Proportional to 7,414.36, 11,120.70 and 2,219

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Solution

The fourth proportional to 7,414.36, 11,120.70 and 2,219 is: 3,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.36 : 11,120.70 = 2,219 : x
  2. Step 2: Convert to fraction form
    7,414.36/11,120.70 = 2,219/x
  3. Step 3: Cross multiply
    7,414.36x = 11,120.70 × 2,219
  4. Step 4: Simplify right side
    7,414.36x = 24,676,833.30
  5. Step 5: Solve for x
    x = 24,676,833.30/7,414.36
  6. Step 6: Final answer
    x = 3,328.25

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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.