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Finding the Fourth Proportional to 7,138.98, 10,706.40 and 2,755.42

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Solution

The fourth proportional to 7,138.98, 10,706.40 and 2,755.42 is: 4,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.98 : 10,706.40 = 2,755.42 : x
  2. Step 2: Convert to fraction form
    7,138.98/10,706.40 = 2,755.42/x
  3. Step 3: Cross multiply
    7,138.98x = 10,706.40 × 2,755.42
  4. Step 4: Simplify right side
    7,138.98x = 29,500,601.92
  5. Step 5: Solve for x
    x = 29,500,601.92/7,138.98
  6. Step 6: Final answer
    x = 4,132.33

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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.