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Finding the Fourth Proportional to 15,668, 21,622.80 and 9,044

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Solution

The fourth proportional to 15,668, 21,622.80 and 9,044 is: 12,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,668 : 21,622.80 = 9,044 : x
  2. Step 2: Convert to fraction form
    15,668/21,622.80 = 9,044/x
  3. Step 3: Cross multiply
    15,668x = 21,622.80 × 9,044
  4. Step 4: Simplify right side
    15,668x = 195,556,603.20
  5. Step 5: Solve for x
    x = 195,556,603.20/15,668
  6. Step 6: Final answer
    x = 12,481.27

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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.