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Finding the Fourth Proportional to 5,297.22, 7,945.86 and 1,348.80

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Solution

The fourth proportional to 5,297.22, 7,945.86 and 1,348.80 is: 2,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.22 : 7,945.86 = 1,348.80 : x
  2. Step 2: Convert to fraction form
    5,297.22/7,945.86 = 1,348.80/x
  3. Step 3: Cross multiply
    5,297.22x = 7,945.86 × 1,348.80
  4. Step 4: Simplify right side
    5,297.22x = 10,717,375.97
  5. Step 5: Solve for x
    x = 10,717,375.97/5,297.22
  6. Step 6: Final answer
    x = 2,023.21

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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.