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Finding the Fourth Proportional to 3,970.71, 5,957.69 and 3,197.97

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Solution

The fourth proportional to 3,970.71, 5,957.69 and 3,197.97 is: 4,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.71 : 5,957.69 = 3,197.97 : x
  2. Step 2: Convert to fraction form
    3,970.71/5,957.69 = 3,197.97/x
  3. Step 3: Cross multiply
    3,970.71x = 5,957.69 × 3,197.97
  4. Step 4: Simplify right side
    3,970.71x = 19,052,497.90
  5. Step 5: Solve for x
    x = 19,052,497.90/3,970.71
  6. Step 6: Final answer
    x = 4,798.26

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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.