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Finding the Fourth Proportional to 8,464.70, 12,687.91 and 4,765.97

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Solution

The fourth proportional to 8,464.70, 12,687.91 and 4,765.97 is: 7,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.70 : 12,687.91 = 4,765.97 : x
  2. Step 2: Convert to fraction form
    8,464.70/12,687.91 = 4,765.97/x
  3. Step 3: Cross multiply
    8,464.70x = 12,687.91 × 4,765.97
  4. Step 4: Simplify right side
    8,464.70x = 60,470,218.23
  5. Step 5: Solve for x
    x = 60,470,218.23/8,464.70
  6. Step 6: Final answer
    x = 7,143.81

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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.