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Finding the Fourth Proportional to 8,491.79, 12,723.85 and 5,197.97

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Solution

The fourth proportional to 8,491.79, 12,723.85 and 5,197.97 is: 7,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.79 : 12,723.85 = 5,197.97 : x
  2. Step 2: Convert to fraction form
    8,491.79/12,723.85 = 5,197.97/x
  3. Step 3: Cross multiply
    8,491.79x = 12,723.85 × 5,197.97
  4. Step 4: Simplify right side
    8,491.79x = 66,138,190.58
  5. Step 5: Solve for x
    x = 66,138,190.58/8,491.79
  6. Step 6: Final answer
    x = 7,788.49

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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.