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Finding the Fourth Proportional to 3,970.74, 5,954.19 and 1,196.90

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Solution

The fourth proportional to 3,970.74, 5,954.19 and 1,196.90 is: 1,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.74 : 5,954.19 = 1,196.90 : x
  2. Step 2: Convert to fraction form
    3,970.74/5,954.19 = 1,196.90/x
  3. Step 3: Cross multiply
    3,970.74x = 5,954.19 × 1,196.90
  4. Step 4: Simplify right side
    3,970.74x = 7,126,562.57
  5. Step 5: Solve for x
    x = 7,126,562.57/3,970.74
  6. Step 6: Final answer
    x = 1,794.77

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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.