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Finding the Fourth Proportional to 7,313.08, 10,969.86 and 2,119

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Solution

The fourth proportional to 7,313.08, 10,969.86 and 2,119 is: 3,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.08 : 10,969.86 = 2,119 : x
  2. Step 2: Convert to fraction form
    7,313.08/10,969.86 = 2,119/x
  3. Step 3: Cross multiply
    7,313.08x = 10,969.86 × 2,119
  4. Step 4: Simplify right side
    7,313.08x = 23,245,133.34
  5. Step 5: Solve for x
    x = 23,245,133.34/7,313.08
  6. Step 6: Final answer
    x = 3,178.57

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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.