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Finding the Fourth Proportional to 2,662.91, 3,993.95 and 931.13

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Solution

The fourth proportional to 2,662.91, 3,993.95 and 931.13 is: 1,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.91 : 3,993.95 = 931.13 : x
  2. Step 2: Convert to fraction form
    2,662.91/3,993.95 = 931.13/x
  3. Step 3: Cross multiply
    2,662.91x = 3,993.95 × 931.13
  4. Step 4: Simplify right side
    2,662.91x = 3,718,862.04
  5. Step 5: Solve for x
    x = 3,718,862.04/2,662.91
  6. Step 6: Final answer
    x = 1,396.54

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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.