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Finding the Fourth Proportional to 3,729, 5,146.04 and 2,073

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Solution

The fourth proportional to 3,729, 5,146.04 and 2,073 is: 2,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729 : 5,146.04 = 2,073 : x
  2. Step 2: Convert to fraction form
    3,729/5,146.04 = 2,073/x
  3. Step 3: Cross multiply
    3,729x = 5,146.04 × 2,073
  4. Step 4: Simplify right side
    3,729x = 10,667,740.92
  5. Step 5: Solve for x
    x = 10,667,740.92/3,729
  6. Step 6: Final answer
    x = 2,860.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.