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Finding the Fourth Proportional to 8,638.66, 12,982.36 and 5,129.27

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Solution

The fourth proportional to 8,638.66, 12,982.36 and 5,129.27 is: 7,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.66 : 12,982.36 = 5,129.27 : x
  2. Step 2: Convert to fraction form
    8,638.66/12,982.36 = 5,129.27/x
  3. Step 3: Cross multiply
    8,638.66x = 12,982.36 × 5,129.27
  4. Step 4: Simplify right side
    8,638.66x = 66,590,029.68
  5. Step 5: Solve for x
    x = 66,590,029.68/8,638.66
  6. Step 6: Final answer
    x = 7,708.37

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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.