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Finding the Fourth Proportional to 3,197.27, 4,785.08 and 1,965.47

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Solution

The fourth proportional to 3,197.27, 4,785.08 and 1,965.47 is: 2,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.27 : 4,785.08 = 1,965.47 : x
  2. Step 2: Convert to fraction form
    3,197.27/4,785.08 = 1,965.47/x
  3. Step 3: Cross multiply
    3,197.27x = 4,785.08 × 1,965.47
  4. Step 4: Simplify right side
    3,197.27x = 9,404,897.43
  5. Step 5: Solve for x
    x = 9,404,897.43/3,197.27
  6. Step 6: Final answer
    x = 2,941.54

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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.