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Finding the Fourth Proportional to 6,408, 9,613.68 and 5,709.99

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Solution

The fourth proportional to 6,408, 9,613.68 and 5,709.99 is: 8,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408 : 9,613.68 = 5,709.99 : x
  2. Step 2: Convert to fraction form
    6,408/9,613.68 = 5,709.99/x
  3. Step 3: Cross multiply
    6,408x = 9,613.68 × 5,709.99
  4. Step 4: Simplify right side
    6,408x = 54,894,016.66
  5. Step 5: Solve for x
    x = 54,894,016.66/6,408
  6. Step 6: Final answer
    x = 8,566.48

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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.