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Finding the Fourth Proportional to 7,806.87, 11,711.07 and 2,541.65

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Solution

The fourth proportional to 7,806.87, 11,711.07 and 2,541.65 is: 3,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.87 : 11,711.07 = 2,541.65 : x
  2. Step 2: Convert to fraction form
    7,806.87/11,711.07 = 2,541.65/x
  3. Step 3: Cross multiply
    7,806.87x = 11,711.07 × 2,541.65
  4. Step 4: Simplify right side
    7,806.87x = 29,765,382.51
  5. Step 5: Solve for x
    x = 29,765,382.51/7,806.87
  6. Step 6: Final answer
    x = 3,812.72

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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.