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Finding the Fourth Proportional to 8,168, 12,214.62 and 6,089.42

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Solution

The fourth proportional to 8,168, 12,214.62 and 6,089.42 is: 9,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168 : 12,214.62 = 6,089.42 : x
  2. Step 2: Convert to fraction form
    8,168/12,214.62 = 6,089.42/x
  3. Step 3: Cross multiply
    8,168x = 12,214.62 × 6,089.42
  4. Step 4: Simplify right side
    8,168x = 74,379,951.32
  5. Step 5: Solve for x
    x = 74,379,951.32/8,168
  6. Step 6: Final answer
    x = 9,106.26

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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.