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Finding the Fourth Proportional to 7,782.72, 11,679.36 and 3,889.92

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Solution

The fourth proportional to 7,782.72, 11,679.36 and 3,889.92 is: 5,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.72 : 11,679.36 = 3,889.92 : x
  2. Step 2: Convert to fraction form
    7,782.72/11,679.36 = 3,889.92/x
  3. Step 3: Cross multiply
    7,782.72x = 11,679.36 × 3,889.92
  4. Step 4: Simplify right side
    7,782.72x = 45,431,776.05
  5. Step 5: Solve for x
    x = 45,431,776.05/7,782.72
  6. Step 6: Final answer
    x = 5,837.52

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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.