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Finding the Fourth Proportional to 8,668.92, 13,007.70 and 3,739.80

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Solution

The fourth proportional to 8,668.92, 13,007.70 and 3,739.80 is: 5,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.92 : 13,007.70 = 3,739.80 : x
  2. Step 2: Convert to fraction form
    8,668.92/13,007.70 = 3,739.80/x
  3. Step 3: Cross multiply
    8,668.92x = 13,007.70 × 3,739.80
  4. Step 4: Simplify right side
    8,668.92x = 48,646,196.46
  5. Step 5: Solve for x
    x = 48,646,196.46/8,668.92
  6. Step 6: Final answer
    x = 5,611.56

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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.