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Finding the Fourth Proportional to 19,383, 29,085 and 15,009

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Solution

The fourth proportional to 19,383, 29,085 and 15,009 is: 22,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,383 : 29,085 = 15,009 : x
  2. Step 2: Convert to fraction form
    19,383/29,085 = 15,009/x
  3. Step 3: Cross multiply
    19,383x = 29,085 × 15,009
  4. Step 4: Simplify right side
    19,383x = 436,536,765
  5. Step 5: Solve for x
    x = 436,536,765/19,383
  6. Step 6: Final answer
    x = 22,521.63

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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.