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Finding the Fourth Proportional to 17,402, 26,079.36 and 8,021.38

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Solution

The fourth proportional to 17,402, 26,079.36 and 8,021.38 is: 12,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402 : 26,079.36 = 8,021.38 : x
  2. Step 2: Convert to fraction form
    17,402/26,079.36 = 8,021.38/x
  3. Step 3: Cross multiply
    17,402x = 26,079.36 × 8,021.38
  4. Step 4: Simplify right side
    17,402x = 209,192,456.72
  5. Step 5: Solve for x
    x = 209,192,456.72/17,402
  6. Step 6: Final answer
    x = 12,021.17

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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.