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Finding the Fourth Proportional to 38,012.78, 57,019.20 and 10,310.78

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Solution

The fourth proportional to 38,012.78, 57,019.20 and 10,310.78 is: 15,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012.78 : 57,019.20 = 10,310.78 : x
  2. Step 2: Convert to fraction form
    38,012.78/57,019.20 = 10,310.78/x
  3. Step 3: Cross multiply
    38,012.78x = 57,019.20 × 10,310.78
  4. Step 4: Simplify right side
    38,012.78x = 587,912,426.98
  5. Step 5: Solve for x
    x = 587,912,426.98/38,012.78
  6. Step 6: Final answer
    x = 15,466.18

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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.