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Finding the Fourth Proportional to 8,185, 12,277.22 and 2,638.66

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Solution

The fourth proportional to 8,185, 12,277.22 and 2,638.66 is: 3,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185 : 12,277.22 = 2,638.66 : x
  2. Step 2: Convert to fraction form
    8,185/12,277.22 = 2,638.66/x
  3. Step 3: Cross multiply
    8,185x = 12,277.22 × 2,638.66
  4. Step 4: Simplify right side
    8,185x = 32,395,409.33
  5. Step 5: Solve for x
    x = 32,395,409.33/8,185
  6. Step 6: Final answer
    x = 3,957.90

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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.