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Finding the Fourth Proportional to 8,614.18, 12,921.34 and 2,374.54

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Solution

The fourth proportional to 8,614.18, 12,921.34 and 2,374.54 is: 3,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.18 : 12,921.34 = 2,374.54 : x
  2. Step 2: Convert to fraction form
    8,614.18/12,921.34 = 2,374.54/x
  3. Step 3: Cross multiply
    8,614.18x = 12,921.34 × 2,374.54
  4. Step 4: Simplify right side
    8,614.18x = 30,682,238.68
  5. Step 5: Solve for x
    x = 30,682,238.68/8,614.18
  6. Step 6: Final answer
    x = 3,561.83

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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.