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Finding the Fourth Proportional to 17,668.68, 26,503.02 and 7,818

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Solution

The fourth proportional to 17,668.68, 26,503.02 and 7,818 is: 11,727

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.68 : 26,503.02 = 7,818 : x
  2. Step 2: Convert to fraction form
    17,668.68/26,503.02 = 7,818/x
  3. Step 3: Cross multiply
    17,668.68x = 26,503.02 × 7,818
  4. Step 4: Simplify right side
    17,668.68x = 207,200,610.36
  5. Step 5: Solve for x
    x = 207,200,610.36/17,668.68
  6. Step 6: Final answer
    x = 11,727

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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.