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Finding the Fourth Proportional to 8,172, 12,220.62 and 6,093.42

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Solution

The fourth proportional to 8,172, 12,220.62 and 6,093.42 is: 9,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172 : 12,220.62 = 6,093.42 : x
  2. Step 2: Convert to fraction form
    8,172/12,220.62 = 6,093.42/x
  3. Step 3: Cross multiply
    8,172x = 12,220.62 × 6,093.42
  4. Step 4: Simplify right side
    8,172x = 74,465,370.32
  5. Step 5: Solve for x
    x = 74,465,370.32/8,172
  6. Step 6: Final answer
    x = 9,112.26

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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.