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Finding the Fourth Proportional to 3,972.04, 5,954 and 1,372.76

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Solution

The fourth proportional to 3,972.04, 5,954 and 1,372.76 is: 2,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.04 : 5,954 = 1,372.76 : x
  2. Step 2: Convert to fraction form
    3,972.04/5,954 = 1,372.76/x
  3. Step 3: Cross multiply
    3,972.04x = 5,954 × 1,372.76
  4. Step 4: Simplify right side
    3,972.04x = 8,173,413.04
  5. Step 5: Solve for x
    x = 8,173,413.04/3,972.04
  6. Step 6: Final answer
    x = 2,057.74

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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.