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Finding the Fourth Proportional to 8,169.73, 12,254.63 and 2,975.60

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Solution

The fourth proportional to 8,169.73, 12,254.63 and 2,975.60 is: 4,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.73 : 12,254.63 = 2,975.60 : x
  2. Step 2: Convert to fraction form
    8,169.73/12,254.63 = 2,975.60/x
  3. Step 3: Cross multiply
    8,169.73x = 12,254.63 × 2,975.60
  4. Step 4: Simplify right side
    8,169.73x = 36,464,892.79
  5. Step 5: Solve for x
    x = 36,464,892.79/8,169.73
  6. Step 6: Final answer
    x = 4,463.42

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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.