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Finding the Fourth Proportional to 7,883.72, 11,832.06 and 3,989.24

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Solution

The fourth proportional to 7,883.72, 11,832.06 and 3,989.24 is: 5,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.72 : 11,832.06 = 3,989.24 : x
  2. Step 2: Convert to fraction form
    7,883.72/11,832.06 = 3,989.24/x
  3. Step 3: Cross multiply
    7,883.72x = 11,832.06 × 3,989.24
  4. Step 4: Simplify right side
    7,883.72x = 47,200,927.03
  5. Step 5: Solve for x
    x = 47,200,927.03/7,883.72
  6. Step 6: Final answer
    x = 5,987.14

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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.