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Finding the Fourth Proportional to 8,709.13, 13,072.92 and 5,424.54

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Solution

The fourth proportional to 8,709.13, 13,072.92 and 5,424.54 is: 8,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.13 : 13,072.92 = 5,424.54 : x
  2. Step 2: Convert to fraction form
    8,709.13/13,072.92 = 5,424.54/x
  3. Step 3: Cross multiply
    8,709.13x = 13,072.92 × 5,424.54
  4. Step 4: Simplify right side
    8,709.13x = 70,914,577.46
  5. Step 5: Solve for x
    x = 70,914,577.46/8,709.13
  6. Step 6: Final answer
    x = 8,142.56

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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.