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Finding the Fourth Proportional to 37,828, 52,203 and 21,061.36

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Solution

The fourth proportional to 37,828, 52,203 and 21,061.36 is: 29,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,828 : 52,203 = 21,061.36 : x
  2. Step 2: Convert to fraction form
    37,828/52,203 = 21,061.36/x
  3. Step 3: Cross multiply
    37,828x = 52,203 × 21,061.36
  4. Step 4: Simplify right side
    37,828x = 1,099,466,176.08
  5. Step 5: Solve for x
    x = 1,099,466,176.08/37,828
  6. Step 6: Final answer
    x = 29,064.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.