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Finding the Fourth Proportional to 8,546.81, 12,811.37 and 3,280.41

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Solution

The fourth proportional to 8,546.81, 12,811.37 and 3,280.41 is: 4,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.81 : 12,811.37 = 3,280.41 : x
  2. Step 2: Convert to fraction form
    8,546.81/12,811.37 = 3,280.41/x
  3. Step 3: Cross multiply
    8,546.81x = 12,811.37 × 3,280.41
  4. Step 4: Simplify right side
    8,546.81x = 42,026,529.86
  5. Step 5: Solve for x
    x = 42,026,529.86/8,546.81
  6. Step 6: Final answer
    x = 4,917.22

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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.