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Finding the Fourth Proportional to 3,970.66, 5,956.92 and 1,197.22

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Solution

The fourth proportional to 3,970.66, 5,956.92 and 1,197.22 is: 1,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.66 : 5,956.92 = 1,197.22 : x
  2. Step 2: Convert to fraction form
    3,970.66/5,956.92 = 1,197.22/x
  3. Step 3: Cross multiply
    3,970.66x = 5,956.92 × 1,197.22
  4. Step 4: Simplify right side
    3,970.66x = 7,131,743.76
  5. Step 5: Solve for x
    x = 7,131,743.76/3,970.66
  6. Step 6: Final answer
    x = 1,796.11

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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.