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Finding the Fourth Proportional to 2,786.95, 4,180.49 and 938.13

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Solution

The fourth proportional to 2,786.95, 4,180.49 and 938.13 is: 1,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.95 : 4,180.49 = 938.13 : x
  2. Step 2: Convert to fraction form
    2,786.95/4,180.49 = 938.13/x
  3. Step 3: Cross multiply
    2,786.95x = 4,180.49 × 938.13
  4. Step 4: Simplify right side
    2,786.95x = 3,921,843.08
  5. Step 5: Solve for x
    x = 3,921,843.08/2,786.95
  6. Step 6: Final answer
    x = 1,407.22

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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.