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Finding the Fourth Proportional to 27,180, 40,775.85 and 8,459.64

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Solution

The fourth proportional to 27,180, 40,775.85 and 8,459.64 is: 12,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180 : 40,775.85 = 8,459.64 : x
  2. Step 2: Convert to fraction form
    27,180/40,775.85 = 8,459.64/x
  3. Step 3: Cross multiply
    27,180x = 40,775.85 × 8,459.64
  4. Step 4: Simplify right side
    27,180x = 344,949,011.69
  5. Step 5: Solve for x
    x = 344,949,011.69/27,180
  6. Step 6: Final answer
    x = 12,691.28

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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.