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Finding the Fourth Proportional to 7,768.98, 11,657.52 and 3,087.99

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Solution

The fourth proportional to 7,768.98, 11,657.52 and 3,087.99 is: 4,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.98 : 11,657.52 = 3,087.99 : x
  2. Step 2: Convert to fraction form
    7,768.98/11,657.52 = 3,087.99/x
  3. Step 3: Cross multiply
    7,768.98x = 11,657.52 × 3,087.99
  4. Step 4: Simplify right side
    7,768.98x = 35,998,305.18
  5. Step 5: Solve for x
    x = 35,998,305.18/7,768.98
  6. Step 6: Final answer
    x = 4,633.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.