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Finding the Fourth Proportional to 7,870.92, 11,806.38 and 3,969.96

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Solution

The fourth proportional to 7,870.92, 11,806.38 and 3,969.96 is: 5,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.92 : 11,806.38 = 3,969.96 : x
  2. Step 2: Convert to fraction form
    7,870.92/11,806.38 = 3,969.96/x
  3. Step 3: Cross multiply
    7,870.92x = 11,806.38 × 3,969.96
  4. Step 4: Simplify right side
    7,870.92x = 46,870,856.34
  5. Step 5: Solve for x
    x = 46,870,856.34/7,870.92
  6. Step 6: Final answer
    x = 5,954.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.