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Finding the Fourth Proportional to 6,138.03, 9,207.09 and 1,755.54

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Solution

The fourth proportional to 6,138.03, 9,207.09 and 1,755.54 is: 2,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.03 : 9,207.09 = 1,755.54 : x
  2. Step 2: Convert to fraction form
    6,138.03/9,207.09 = 1,755.54/x
  3. Step 3: Cross multiply
    6,138.03x = 9,207.09 × 1,755.54
  4. Step 4: Simplify right side
    6,138.03x = 16,163,414.78
  5. Step 5: Solve for x
    x = 16,163,414.78/6,138.03
  6. Step 6: Final answer
    x = 2,633.32

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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.