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Finding the Fourth Proportional to 3,698.99, 5,106.49 and 2,857.80

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Solution

The fourth proportional to 3,698.99, 5,106.49 and 2,857.80 is: 3,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.99 : 5,106.49 = 2,857.80 : x
  2. Step 2: Convert to fraction form
    3,698.99/5,106.49 = 2,857.80/x
  3. Step 3: Cross multiply
    3,698.99x = 5,106.49 × 2,857.80
  4. Step 4: Simplify right side
    3,698.99x = 14,593,327.12
  5. Step 5: Solve for x
    x = 14,593,327.12/3,698.99
  6. Step 6: Final answer
    x = 3,945.22

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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.