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Finding the Fourth Proportional to 7,704.90, 11,557.26 and 3,087.90

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Solution

The fourth proportional to 7,704.90, 11,557.26 and 3,087.90 is: 4,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.90 : 11,557.26 = 3,087.90 : x
  2. Step 2: Convert to fraction form
    7,704.90/11,557.26 = 3,087.90/x
  3. Step 3: Cross multiply
    7,704.90x = 11,557.26 × 3,087.90
  4. Step 4: Simplify right side
    7,704.90x = 35,687,663.15
  5. Step 5: Solve for x
    x = 35,687,663.15/7,704.90
  6. Step 6: Final answer
    x = 4,631.81

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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.