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Finding the Fourth Proportional to 3,760.65, 5,642.10 and 2,197.80

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Solution

The fourth proportional to 3,760.65, 5,642.10 and 2,197.80 is: 3,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.65 : 5,642.10 = 2,197.80 : x
  2. Step 2: Convert to fraction form
    3,760.65/5,642.10 = 2,197.80/x
  3. Step 3: Cross multiply
    3,760.65x = 5,642.10 × 2,197.80
  4. Step 4: Simplify right side
    3,760.65x = 12,400,207.38
  5. Step 5: Solve for x
    x = 12,400,207.38/3,760.65
  6. Step 6: Final answer
    x = 3,297.36

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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.