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Finding the Fourth Proportional to 3,919.96, 5,880.93 and 1,729.30

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Solution

The fourth proportional to 3,919.96, 5,880.93 and 1,729.30 is: 2,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.96 : 5,880.93 = 1,729.30 : x
  2. Step 2: Convert to fraction form
    3,919.96/5,880.93 = 1,729.30/x
  3. Step 3: Cross multiply
    3,919.96x = 5,880.93 × 1,729.30
  4. Step 4: Simplify right side
    3,919.96x = 10,169,892.25
  5. Step 5: Solve for x
    x = 10,169,892.25/3,919.96
  6. Step 6: Final answer
    x = 2,594.39

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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.