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Finding the Fourth Proportional to 8,166, 12,211.62 and 6,087.42

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Solution

The fourth proportional to 8,166, 12,211.62 and 6,087.42 is: 9,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166 : 12,211.62 = 6,087.42 : x
  2. Step 2: Convert to fraction form
    8,166/12,211.62 = 6,087.42/x
  3. Step 3: Cross multiply
    8,166x = 12,211.62 × 6,087.42
  4. Step 4: Simplify right side
    8,166x = 74,337,259.82
  5. Step 5: Solve for x
    x = 74,337,259.82/8,166
  6. Step 6: Final answer
    x = 9,103.26

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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.