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Finding the Fourth Proportional to 8,732.11, 13,102.01 and 4,983.73

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Solution

The fourth proportional to 8,732.11, 13,102.01 and 4,983.73 is: 7,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.11 : 13,102.01 = 4,983.73 : x
  2. Step 2: Convert to fraction form
    8,732.11/13,102.01 = 4,983.73/x
  3. Step 3: Cross multiply
    8,732.11x = 13,102.01 × 4,983.73
  4. Step 4: Simplify right side
    8,732.11x = 65,296,855.38
  5. Step 5: Solve for x
    x = 65,296,855.38/8,732.11
  6. Step 6: Final answer
    x = 7,477.79

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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.