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Finding the Fourth Proportional to 6,408.50, 9,613.11 and 1,791.86

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Solution

The fourth proportional to 6,408.50, 9,613.11 and 1,791.86 is: 2,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.50 : 9,613.11 = 1,791.86 : x
  2. Step 2: Convert to fraction form
    6,408.50/9,613.11 = 1,791.86/x
  3. Step 3: Cross multiply
    6,408.50x = 9,613.11 × 1,791.86
  4. Step 4: Simplify right side
    6,408.50x = 17,225,347.28
  5. Step 5: Solve for x
    x = 17,225,347.28/6,408.50
  6. Step 6: Final answer
    x = 2,687.89

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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.