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Finding the Fourth Proportional to 7,708.66, 11,562.98 and 1,865.27

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Solution

The fourth proportional to 7,708.66, 11,562.98 and 1,865.27 is: 2,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.66 : 11,562.98 = 1,865.27 : x
  2. Step 2: Convert to fraction form
    7,708.66/11,562.98 = 1,865.27/x
  3. Step 3: Cross multiply
    7,708.66x = 11,562.98 × 1,865.27
  4. Step 4: Simplify right side
    7,708.66x = 21,568,079.70
  5. Step 5: Solve for x
    x = 21,568,079.70/7,708.66
  6. Step 6: Final answer
    x = 2,797.90

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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.