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Finding the Fourth Proportional to 8,124.35, 12,182.87 and 3,739.41

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Solution

The fourth proportional to 8,124.35, 12,182.87 and 3,739.41 is: 5,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.35 : 12,182.87 = 3,739.41 : x
  2. Step 2: Convert to fraction form
    8,124.35/12,182.87 = 3,739.41/x
  3. Step 3: Cross multiply
    8,124.35x = 12,182.87 × 3,739.41
  4. Step 4: Simplify right side
    8,124.35x = 45,556,727.21
  5. Step 5: Solve for x
    x = 45,556,727.21/8,124.35
  6. Step 6: Final answer
    x = 5,607.43

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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.