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Finding the Fourth Proportional to 8,073.23, 12,111 and 3,909.82

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Solution

The fourth proportional to 8,073.23, 12,111 and 3,909.82 is: 5,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.23 : 12,111 = 3,909.82 : x
  2. Step 2: Convert to fraction form
    8,073.23/12,111 = 3,909.82/x
  3. Step 3: Cross multiply
    8,073.23x = 12,111 × 3,909.82
  4. Step 4: Simplify right side
    8,073.23x = 47,351,769.47
  5. Step 5: Solve for x
    x = 47,351,769.47/8,073.23
  6. Step 6: Final answer
    x = 5,865.28

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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.