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Finding the Fourth Proportional to 7,380.14, 11,068.05 and 6,078.38

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Solution

The fourth proportional to 7,380.14, 11,068.05 and 6,078.38 is: 9,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.14 : 11,068.05 = 6,078.38 : x
  2. Step 2: Convert to fraction form
    7,380.14/11,068.05 = 6,078.38/x
  3. Step 3: Cross multiply
    7,380.14x = 11,068.05 × 6,078.38
  4. Step 4: Simplify right side
    7,380.14x = 67,275,813.76
  5. Step 5: Solve for x
    x = 67,275,813.76/7,380.14
  6. Step 6: Final answer
    x = 9,115.79

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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.