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Finding the Fourth Proportional to 3,149.93, 4,709.91 and 2,874.53

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Solution

The fourth proportional to 3,149.93, 4,709.91 and 2,874.53 is: 4,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.93 : 4,709.91 = 2,874.53 : x
  2. Step 2: Convert to fraction form
    3,149.93/4,709.91 = 2,874.53/x
  3. Step 3: Cross multiply
    3,149.93x = 4,709.91 × 2,874.53
  4. Step 4: Simplify right side
    3,149.93x = 13,538,777.59
  5. Step 5: Solve for x
    x = 13,538,777.59/3,149.93
  6. Step 6: Final answer
    x = 4,298.12

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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.