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Finding the Fourth Proportional to 7,687.79, 11,524.77 and 2,756.28

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Solution

The fourth proportional to 7,687.79, 11,524.77 and 2,756.28 is: 4,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.79 : 11,524.77 = 2,756.28 : x
  2. Step 2: Convert to fraction form
    7,687.79/11,524.77 = 2,756.28/x
  3. Step 3: Cross multiply
    7,687.79x = 11,524.77 × 2,756.28
  4. Step 4: Simplify right side
    7,687.79x = 31,765,493.06
  5. Step 5: Solve for x
    x = 31,765,493.06/7,687.79
  6. Step 6: Final answer
    x = 4,131.94

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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.