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Finding the Fourth Proportional to 27,872.55, 41,808.69 and 6,812.71

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Solution

The fourth proportional to 27,872.55, 41,808.69 and 6,812.71 is: 10,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.55 : 41,808.69 = 6,812.71 : x
  2. Step 2: Convert to fraction form
    27,872.55/41,808.69 = 6,812.71/x
  3. Step 3: Cross multiply
    27,872.55x = 41,808.69 × 6,812.71
  4. Step 4: Simplify right side
    27,872.55x = 284,830,375.93
  5. Step 5: Solve for x
    x = 284,830,375.93/27,872.55
  6. Step 6: Final answer
    x = 10,219.03

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1.5x scale

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.