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Finding the Fourth Proportional to 6,835.91, 10,245.90 and 3,138.53

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Solution

The fourth proportional to 6,835.91, 10,245.90 and 3,138.53 is: 4,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.91 : 10,245.90 = 3,138.53 : x
  2. Step 2: Convert to fraction form
    6,835.91/10,245.90 = 3,138.53/x
  3. Step 3: Cross multiply
    6,835.91x = 10,245.90 × 3,138.53
  4. Step 4: Simplify right side
    6,835.91x = 32,157,064.53
  5. Step 5: Solve for x
    x = 32,157,064.53/6,835.91
  6. Step 6: Final answer
    x = 4,704.14

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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.