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Finding the Fourth Proportional to 2,110.11, 3,165.90 and 940.22

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Solution

The fourth proportional to 2,110.11, 3,165.90 and 940.22 is: 1,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.11 : 3,165.90 = 940.22 : x
  2. Step 2: Convert to fraction form
    2,110.11/3,165.90 = 940.22/x
  3. Step 3: Cross multiply
    2,110.11x = 3,165.90 × 940.22
  4. Step 4: Simplify right side
    2,110.11x = 2,976,631.40
  5. Step 5: Solve for x
    x = 2,976,631.40/2,110.11
  6. Step 6: Final answer
    x = 1,410.65

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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.