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Finding the Fourth Proportional to 2,131.48, 3,197.22 and 650.71

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Solution

The fourth proportional to 2,131.48, 3,197.22 and 650.71 is: 976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.48 : 3,197.22 = 650.71 : x
  2. Step 2: Convert to fraction form
    2,131.48/3,197.22 = 650.71/x
  3. Step 3: Cross multiply
    2,131.48x = 3,197.22 × 650.71
  4. Step 4: Simplify right side
    2,131.48x = 2,080,447.04
  5. Step 5: Solve for x
    x = 2,080,447.04/2,131.48
  6. Step 6: Final answer
    x = 976.06

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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.