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Finding the Fourth Proportional to 19,728, 29,554.74 and 15,293.25

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Solution

The fourth proportional to 19,728, 29,554.74 and 15,293.25 is: 22,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728 : 29,554.74 = 15,293.25 : x
  2. Step 2: Convert to fraction form
    19,728/29,554.74 = 15,293.25/x
  3. Step 3: Cross multiply
    19,728x = 29,554.74 × 15,293.25
  4. Step 4: Simplify right side
    19,728x = 451,988,027.51
  5. Step 5: Solve for x
    x = 451,988,027.51/19,728
  6. Step 6: Final answer
    x = 22,910.99

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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.