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Finding the Fourth Proportional to 17,638.34, 26,448.80 and 8,743.46

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Solution

The fourth proportional to 17,638.34, 26,448.80 and 8,743.46 is: 13,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.34 : 26,448.80 = 8,743.46 : x
  2. Step 2: Convert to fraction form
    17,638.34/26,448.80 = 8,743.46/x
  3. Step 3: Cross multiply
    17,638.34x = 26,448.80 × 8,743.46
  4. Step 4: Simplify right side
    17,638.34x = 231,254,024.85
  5. Step 5: Solve for x
    x = 231,254,024.85/17,638.34
  6. Step 6: Final answer
    x = 13,110.87

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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.