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Finding the Fourth Proportional to 2,131.70, 3,197.77 and 670.46

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Solution

The fourth proportional to 2,131.70, 3,197.77 and 670.46 is: 1,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.70 : 3,197.77 = 670.46 : x
  2. Step 2: Convert to fraction form
    2,131.70/3,197.77 = 670.46/x
  3. Step 3: Cross multiply
    2,131.70x = 3,197.77 × 670.46
  4. Step 4: Simplify right side
    2,131.70x = 2,143,959.21
  5. Step 5: Solve for x
    x = 2,143,959.21/2,131.70
  6. Step 6: Final answer
    x = 1,005.75

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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.