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Finding the Fourth Proportional to 6,486.42, 9,729.48 and 2,103.86

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Solution

The fourth proportional to 6,486.42, 9,729.48 and 2,103.86 is: 3,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.42 : 9,729.48 = 2,103.86 : x
  2. Step 2: Convert to fraction form
    6,486.42/9,729.48 = 2,103.86/x
  3. Step 3: Cross multiply
    6,486.42x = 9,729.48 × 2,103.86
  4. Step 4: Simplify right side
    6,486.42x = 20,469,463.79
  5. Step 5: Solve for x
    x = 20,469,463.79/6,486.42
  6. Step 6: Final answer
    x = 3,155.74

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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.