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Finding the Fourth Proportional to 3,981.57, 5,494.64 and 2,189.22

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Solution

The fourth proportional to 3,981.57, 5,494.64 and 2,189.22 is: 3,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.57 : 5,494.64 = 2,189.22 : x
  2. Step 2: Convert to fraction form
    3,981.57/5,494.64 = 2,189.22/x
  3. Step 3: Cross multiply
    3,981.57x = 5,494.64 × 2,189.22
  4. Step 4: Simplify right side
    3,981.57x = 12,028,964.83
  5. Step 5: Solve for x
    x = 12,028,964.83/3,981.57
  6. Step 6: Final answer
    x = 3,021.16

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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.