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Finding the Fourth Proportional to 2,141.68, 3,212.26 and 755.07

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Solution

The fourth proportional to 2,141.68, 3,212.26 and 755.07 is: 1,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.68 : 3,212.26 = 755.07 : x
  2. Step 2: Convert to fraction form
    2,141.68/3,212.26 = 755.07/x
  3. Step 3: Cross multiply
    2,141.68x = 3,212.26 × 755.07
  4. Step 4: Simplify right side
    2,141.68x = 2,425,481.16
  5. Step 5: Solve for x
    x = 2,425,481.16/2,141.68
  6. Step 6: Final answer
    x = 1,132.51

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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.