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Finding the Fourth Proportional to 7,686.56, 11,529.28 and 2,755.28

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Solution

The fourth proportional to 7,686.56, 11,529.28 and 2,755.28 is: 4,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.56 : 11,529.28 = 2,755.28 : x
  2. Step 2: Convert to fraction form
    7,686.56/11,529.28 = 2,755.28/x
  3. Step 3: Cross multiply
    7,686.56x = 11,529.28 × 2,755.28
  4. Step 4: Simplify right side
    7,686.56x = 31,766,394.60
  5. Step 5: Solve for x
    x = 31,766,394.60/7,686.56
  6. Step 6: Final answer
    x = 4,132.72

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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.