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Finding the Fourth Proportional to 10,100.70, 15,138.90 and 5,167.80

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Solution

The fourth proportional to 10,100.70, 15,138.90 and 5,167.80 is: 7,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.70 : 15,138.90 = 5,167.80 : x
  2. Step 2: Convert to fraction form
    10,100.70/15,138.90 = 5,167.80/x
  3. Step 3: Cross multiply
    10,100.70x = 15,138.90 × 5,167.80
  4. Step 4: Simplify right side
    10,100.70x = 78,234,807.42
  5. Step 5: Solve for x
    x = 78,234,807.42/10,100.70
  6. Step 6: Final answer
    x = 7,745.48

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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.