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Finding the Fourth Proportional to 11,138.70, 16,708.05 and 5,306.70

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Solution

The fourth proportional to 11,138.70, 16,708.05 and 5,306.70 is: 7,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.70 : 16,708.05 = 5,306.70 : x
  2. Step 2: Convert to fraction form
    11,138.70/16,708.05 = 5,306.70/x
  3. Step 3: Cross multiply
    11,138.70x = 16,708.05 × 5,306.70
  4. Step 4: Simplify right side
    11,138.70x = 88,664,608.94
  5. Step 5: Solve for x
    x = 88,664,608.94/11,138.70
  6. Step 6: Final answer
    x = 7,960.05

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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.