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Finding the Fourth Proportional to 2,131.76, 3,197.65 and 745.09

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Solution

The fourth proportional to 2,131.76, 3,197.65 and 745.09 is: 1,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.76 : 3,197.65 = 745.09 : x
  2. Step 2: Convert to fraction form
    2,131.76/3,197.65 = 745.09/x
  3. Step 3: Cross multiply
    2,131.76x = 3,197.65 × 745.09
  4. Step 4: Simplify right side
    2,131.76x = 2,382,537.04
  5. Step 5: Solve for x
    x = 2,382,537.04/2,131.76
  6. Step 6: Final answer
    x = 1,117.64

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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.