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Finding the Fourth Proportional to 27,159.72, 40,731.79 and 8,186.19

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Solution

The fourth proportional to 27,159.72, 40,731.79 and 8,186.19 is: 12,276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,159.72 : 40,731.79 = 8,186.19 : x
  2. Step 2: Convert to fraction form
    27,159.72/40,731.79 = 8,186.19/x
  3. Step 3: Cross multiply
    27,159.72x = 40,731.79 × 8,186.19
  4. Step 4: Simplify right side
    27,159.72x = 333,438,273.81
  5. Step 5: Solve for x
    x = 333,438,273.81/27,159.72
  6. Step 6: Final answer
    x = 12,276.94

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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.