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Finding the Fourth Proportional to 3,980.25, 5,972.94 and 1,671.75

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Solution

The fourth proportional to 3,980.25, 5,972.94 and 1,671.75 is: 2,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.25 : 5,972.94 = 1,671.75 : x
  2. Step 2: Convert to fraction form
    3,980.25/5,972.94 = 1,671.75/x
  3. Step 3: Cross multiply
    3,980.25x = 5,972.94 × 1,671.75
  4. Step 4: Simplify right side
    3,980.25x = 9,985,262.45
  5. Step 5: Solve for x
    x = 9,985,262.45/3,980.25
  6. Step 6: Final answer
    x = 2,508.70

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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.