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Finding the Fourth Proportional to 8,686.96, 13,027.20 and 3,138.80

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Solution

The fourth proportional to 8,686.96, 13,027.20 and 3,138.80 is: 4,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.96 : 13,027.20 = 3,138.80 : x
  2. Step 2: Convert to fraction form
    8,686.96/13,027.20 = 3,138.80/x
  3. Step 3: Cross multiply
    8,686.96x = 13,027.20 × 3,138.80
  4. Step 4: Simplify right side
    8,686.96x = 40,889,775.36
  5. Step 5: Solve for x
    x = 40,889,775.36/8,686.96
  6. Step 6: Final answer
    x = 4,707.03

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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.