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Finding the Fourth Proportional to 17,523, 26,283.54 and 7,143.48

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Solution

The fourth proportional to 17,523, 26,283.54 and 7,143.48 is: 10,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523 : 26,283.54 = 7,143.48 : x
  2. Step 2: Convert to fraction form
    17,523/26,283.54 = 7,143.48/x
  3. Step 3: Cross multiply
    17,523x = 26,283.54 × 7,143.48
  4. Step 4: Simplify right side
    17,523x = 187,755,942.32
  5. Step 5: Solve for x
    x = 187,755,942.32/17,523
  6. Step 6: Final answer
    x = 10,714.83

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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.