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Finding the Fourth Proportional to 8,111.72, 11,195 and 5,089

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Solution

The fourth proportional to 8,111.72, 11,195 and 5,089 is: 7,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.72 : 11,195 = 5,089 : x
  2. Step 2: Convert to fraction form
    8,111.72/11,195 = 5,089/x
  3. Step 3: Cross multiply
    8,111.72x = 11,195 × 5,089
  4. Step 4: Simplify right side
    8,111.72x = 56,971,355
  5. Step 5: Solve for x
    x = 56,971,355/8,111.72
  6. Step 6: Final answer
    x = 7,023.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.