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Finding the Fourth Proportional to 2,977.22, 4,107.49 and 1,797.86

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Solution

The fourth proportional to 2,977.22, 4,107.49 and 1,797.86 is: 2,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.22 : 4,107.49 = 1,797.86 : x
  2. Step 2: Convert to fraction form
    2,977.22/4,107.49 = 1,797.86/x
  3. Step 3: Cross multiply
    2,977.22x = 4,107.49 × 1,797.86
  4. Step 4: Simplify right side
    2,977.22x = 7,384,666.94
  5. Step 5: Solve for x
    x = 7,384,666.94/2,977.22
  6. Step 6: Final answer
    x = 2,480.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.