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Finding the Fourth Proportional to 27,181, 40,711.24 and 20,894.68

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Solution

The fourth proportional to 27,181, 40,711.24 and 20,894.68 is: 31,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181 : 40,711.24 = 20,894.68 : x
  2. Step 2: Convert to fraction form
    27,181/40,711.24 = 20,894.68/x
  3. Step 3: Cross multiply
    27,181x = 40,711.24 × 20,894.68
  4. Step 4: Simplify right side
    27,181x = 850,648,332.20
  5. Step 5: Solve for x
    x = 850,648,332.20/27,181
  6. Step 6: Final answer
    x = 31,295.70

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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.