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Finding the Fourth Proportional to 8,111.97, 12,168 and 3,430.80

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Solution

The fourth proportional to 8,111.97, 12,168 and 3,430.80 is: 5,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.97 : 12,168 = 3,430.80 : x
  2. Step 2: Convert to fraction form
    8,111.97/12,168 = 3,430.80/x
  3. Step 3: Cross multiply
    8,111.97x = 12,168 × 3,430.80
  4. Step 4: Simplify right side
    8,111.97x = 41,745,974.40
  5. Step 5: Solve for x
    x = 41,745,974.40/8,111.97
  6. Step 6: Final answer
    x = 5,146.22

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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.