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Finding the Fourth Proportional to 27,954.70, 41,934.78 and 10,420.42

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Solution

The fourth proportional to 27,954.70, 41,934.78 and 10,420.42 is: 15,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.70 : 41,934.78 = 10,420.42 : x
  2. Step 2: Convert to fraction form
    27,954.70/41,934.78 = 10,420.42/x
  3. Step 3: Cross multiply
    27,954.70x = 41,934.78 × 10,420.42
  4. Step 4: Simplify right side
    27,954.70x = 436,978,020.21
  5. Step 5: Solve for x
    x = 436,978,020.21/27,954.70
  6. Step 6: Final answer
    x = 15,631.65

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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.