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Finding the Fourth Proportional to 7,672.91, 11,520.14 and 3,927.36

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Solution

The fourth proportional to 7,672.91, 11,520.14 and 3,927.36 is: 5,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.91 : 11,520.14 = 3,927.36 : x
  2. Step 2: Convert to fraction form
    7,672.91/11,520.14 = 3,927.36/x
  3. Step 3: Cross multiply
    7,672.91x = 11,520.14 × 3,927.36
  4. Step 4: Simplify right side
    7,672.91x = 45,243,737.03
  5. Step 5: Solve for x
    x = 45,243,737.03/7,672.91
  6. Step 6: Final answer
    x = 5,896.56

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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.