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Finding the Fourth Proportional to 8,269.77, 12,406.04 and 3,831.88

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Solution

The fourth proportional to 8,269.77, 12,406.04 and 3,831.88 is: 5,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.77 : 12,406.04 = 3,831.88 : x
  2. Step 2: Convert to fraction form
    8,269.77/12,406.04 = 3,831.88/x
  3. Step 3: Cross multiply
    8,269.77x = 12,406.04 × 3,831.88
  4. Step 4: Simplify right side
    8,269.77x = 47,538,468.13
  5. Step 5: Solve for x
    x = 47,538,468.13/8,269.77
  6. Step 6: Final answer
    x = 5,748.46

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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.