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Finding the Fourth Proportional to 17,982, 26,978.34 and 9,223.08

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Solution

The fourth proportional to 17,982, 26,978.34 and 9,223.08 is: 13,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982 : 26,978.34 = 9,223.08 : x
  2. Step 2: Convert to fraction form
    17,982/26,978.34 = 9,223.08/x
  3. Step 3: Cross multiply
    17,982x = 26,978.34 × 9,223.08
  4. Step 4: Simplify right side
    17,982x = 248,823,388.09
  5. Step 5: Solve for x
    x = 248,823,388.09/17,982
  6. Step 6: Final answer
    x = 13,837.36

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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.