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Finding the Fourth Proportional to 2,207.77, 3,310.71 and 821.20

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Solution

The fourth proportional to 2,207.77, 3,310.71 and 821.20 is: 1,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.77 : 3,310.71 = 821.20 : x
  2. Step 2: Convert to fraction form
    2,207.77/3,310.71 = 821.20/x
  3. Step 3: Cross multiply
    2,207.77x = 3,310.71 × 821.20
  4. Step 4: Simplify right side
    2,207.77x = 2,718,755.05
  5. Step 5: Solve for x
    x = 2,718,755.05/2,207.77
  6. Step 6: Final answer
    x = 1,231.45

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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.