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Finding the Fourth Proportional to 7,893.96, 11,822.49 and 6,239.40

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Solution

The fourth proportional to 7,893.96, 11,822.49 and 6,239.40 is: 9,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.96 : 11,822.49 = 6,239.40 : x
  2. Step 2: Convert to fraction form
    7,893.96/11,822.49 = 6,239.40/x
  3. Step 3: Cross multiply
    7,893.96x = 11,822.49 × 6,239.40
  4. Step 4: Simplify right side
    7,893.96x = 73,765,244.11
  5. Step 5: Solve for x
    x = 73,765,244.11/7,893.96
  6. Step 6: Final answer
    x = 9,344.52

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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.