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Finding the Fourth Proportional to 9,863.64, 13,613.19 and 6,279

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Solution

The fourth proportional to 9,863.64, 13,613.19 and 6,279 is: 8,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.64 : 13,613.19 = 6,279 : x
  2. Step 2: Convert to fraction form
    9,863.64/13,613.19 = 6,279/x
  3. Step 3: Cross multiply
    9,863.64x = 13,613.19 × 6,279
  4. Step 4: Simplify right side
    9,863.64x = 85,477,220.01
  5. Step 5: Solve for x
    x = 85,477,220.01/9,863.64
  6. Step 6: Final answer
    x = 8,665.89

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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.