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Finding the Fourth Proportional to 6,408, 8,843.76 and 3,613.68

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Solution

The fourth proportional to 6,408, 8,843.76 and 3,613.68 is: 4,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408 : 8,843.76 = 3,613.68 : x
  2. Step 2: Convert to fraction form
    6,408/8,843.76 = 3,613.68/x
  3. Step 3: Cross multiply
    6,408x = 8,843.76 × 3,613.68
  4. Step 4: Simplify right side
    6,408x = 31,958,518.64
  5. Step 5: Solve for x
    x = 31,958,518.64/6,408
  6. Step 6: Final answer
    x = 4,987.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.