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Finding the Fourth Proportional to 11,354.96, 15,668.04 and 6,386

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Solution

The fourth proportional to 11,354.96, 15,668.04 and 6,386 is: 8,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.96 : 15,668.04 = 6,386 : x
  2. Step 2: Convert to fraction form
    11,354.96/15,668.04 = 6,386/x
  3. Step 3: Cross multiply
    11,354.96x = 15,668.04 × 6,386
  4. Step 4: Simplify right side
    11,354.96x = 100,056,103.44
  5. Step 5: Solve for x
    x = 100,056,103.44/11,354.96
  6. Step 6: Final answer
    x = 8,811.66

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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.