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Finding the Fourth Proportional to 1,371.11, 2,064.25 and 941.09

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Solution

The fourth proportional to 1,371.11, 2,064.25 and 941.09 is: 1,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.11 : 2,064.25 = 941.09 : x
  2. Step 2: Convert to fraction form
    1,371.11/2,064.25 = 941.09/x
  3. Step 3: Cross multiply
    1,371.11x = 2,064.25 × 941.09
  4. Step 4: Simplify right side
    1,371.11x = 1,942,645.03
  5. Step 5: Solve for x
    x = 1,942,645.03/1,371.11
  6. Step 6: Final answer
    x = 1,416.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.