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Finding the Fourth Proportional to 2,131.59, 3,197.56 and 744.90

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Solution

The fourth proportional to 2,131.59, 3,197.56 and 744.90 is: 1,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.59 : 3,197.56 = 744.90 : x
  2. Step 2: Convert to fraction form
    2,131.59/3,197.56 = 744.90/x
  3. Step 3: Cross multiply
    2,131.59x = 3,197.56 × 744.90
  4. Step 4: Simplify right side
    2,131.59x = 2,381,862.44
  5. Step 5: Solve for x
    x = 2,381,862.44/2,131.59
  6. Step 6: Final answer
    x = 1,117.41

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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.