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Finding the Fourth Proportional to 2,785.01, 4,177.63 and 837.21

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Solution

The fourth proportional to 2,785.01, 4,177.63 and 837.21 is: 1,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.01 : 4,177.63 = 837.21 : x
  2. Step 2: Convert to fraction form
    2,785.01/4,177.63 = 837.21/x
  3. Step 3: Cross multiply
    2,785.01x = 4,177.63 × 837.21
  4. Step 4: Simplify right side
    2,785.01x = 3,497,553.87
  5. Step 5: Solve for x
    x = 3,497,553.87/2,785.01
  6. Step 6: Final answer
    x = 1,255.85

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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.