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Finding the Fourth Proportional to 27,182, 40,778.86 and 8,461.64

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Solution

The fourth proportional to 27,182, 40,778.86 and 8,461.64 is: 12,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182 : 40,778.86 = 8,461.64 : x
  2. Step 2: Convert to fraction form
    27,182/40,778.86 = 8,461.64/x
  3. Step 3: Cross multiply
    27,182x = 40,778.86 × 8,461.64
  4. Step 4: Simplify right side
    27,182x = 345,056,032.93
  5. Step 5: Solve for x
    x = 345,056,032.93/27,182
  6. Step 6: Final answer
    x = 12,694.28

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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.