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Finding the Fourth Proportional to 7,686.66, 11,520.87 and 3,523.17

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Solution

The fourth proportional to 7,686.66, 11,520.87 and 3,523.17 is: 5,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.66 : 11,520.87 = 3,523.17 : x
  2. Step 2: Convert to fraction form
    7,686.66/11,520.87 = 3,523.17/x
  3. Step 3: Cross multiply
    7,686.66x = 11,520.87 × 3,523.17
  4. Step 4: Simplify right side
    7,686.66x = 40,589,983.56
  5. Step 5: Solve for x
    x = 40,589,983.56/7,686.66
  6. Step 6: Final answer
    x = 5,280.57

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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.