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Finding the Fourth Proportional to 2,832.90, 3,908.22 and 2,045.22

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Solution

The fourth proportional to 2,832.90, 3,908.22 and 2,045.22 is: 2,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.90 : 3,908.22 = 2,045.22 : x
  2. Step 2: Convert to fraction form
    2,832.90/3,908.22 = 2,045.22/x
  3. Step 3: Cross multiply
    2,832.90x = 3,908.22 × 2,045.22
  4. Step 4: Simplify right side
    2,832.90x = 7,993,169.71
  5. Step 5: Solve for x
    x = 7,993,169.71/2,832.90
  6. Step 6: Final answer
    x = 2,821.55

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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.