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Finding the Fourth Proportional to 3,297.62, 4,546.62 and 2,176.78

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Solution

The fourth proportional to 3,297.62, 4,546.62 and 2,176.78 is: 3,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.62 : 4,546.62 = 2,176.78 : x
  2. Step 2: Convert to fraction form
    3,297.62/4,546.62 = 2,176.78/x
  3. Step 3: Cross multiply
    3,297.62x = 4,546.62 × 2,176.78
  4. Step 4: Simplify right side
    3,297.62x = 9,896,991.48
  5. Step 5: Solve for x
    x = 9,896,991.48/3,297.62
  6. Step 6: Final answer
    x = 3,001.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.