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Finding the Fourth Proportional to 8,161, 12,236.70 and 4,456.84

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Solution

The fourth proportional to 8,161, 12,236.70 and 4,456.84 is: 6,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161 : 12,236.70 = 4,456.84 : x
  2. Step 2: Convert to fraction form
    8,161/12,236.70 = 4,456.84/x
  3. Step 3: Cross multiply
    8,161x = 12,236.70 × 4,456.84
  4. Step 4: Simplify right side
    8,161x = 54,537,014.03
  5. Step 5: Solve for x
    x = 54,537,014.03/8,161
  6. Step 6: Final answer
    x = 6,682.64

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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.