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Finding the Fourth Proportional to 11,811.65, 17,706.53 and 6,613.88

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Solution

The fourth proportional to 11,811.65, 17,706.53 and 6,613.88 is: 9,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.65 : 17,706.53 = 6,613.88 : x
  2. Step 2: Convert to fraction form
    11,811.65/17,706.53 = 6,613.88/x
  3. Step 3: Cross multiply
    11,811.65x = 17,706.53 × 6,613.88
  4. Step 4: Simplify right side
    11,811.65x = 117,108,743.03
  5. Step 5: Solve for x
    x = 117,108,743.03/11,811.65
  6. Step 6: Final answer
    x = 9,914.69

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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.