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Finding the Fourth Proportional to 8,668.65, 13,005 and 3,738.72

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Solution

The fourth proportional to 8,668.65, 13,005 and 3,738.72 is: 5,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.65 : 13,005 = 3,738.72 : x
  2. Step 2: Convert to fraction form
    8,668.65/13,005 = 3,738.72/x
  3. Step 3: Cross multiply
    8,668.65x = 13,005 × 3,738.72
  4. Step 4: Simplify right side
    8,668.65x = 48,622,053.60
  5. Step 5: Solve for x
    x = 48,622,053.60/8,668.65
  6. Step 6: Final answer
    x = 5,608.95

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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.