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Finding the Fourth Proportional to 3,129.62, 4,690.78 and 1,742.30

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Solution

The fourth proportional to 3,129.62, 4,690.78 and 1,742.30 is: 2,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.62 : 4,690.78 = 1,742.30 : x
  2. Step 2: Convert to fraction form
    3,129.62/4,690.78 = 1,742.30/x
  3. Step 3: Cross multiply
    3,129.62x = 4,690.78 × 1,742.30
  4. Step 4: Simplify right side
    3,129.62x = 8,172,745.99
  5. Step 5: Solve for x
    x = 8,172,745.99/3,129.62
  6. Step 6: Final answer
    x = 2,611.42

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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.