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Finding the Fourth Proportional to 38,480, 57,553.23 and 22,647.29

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Solution

The fourth proportional to 38,480, 57,553.23 and 22,647.29 is: 33,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480 : 57,553.23 = 22,647.29 : x
  2. Step 2: Convert to fraction form
    38,480/57,553.23 = 22,647.29/x
  3. Step 3: Cross multiply
    38,480x = 57,553.23 × 22,647.29
  4. Step 4: Simplify right side
    38,480x = 1,303,424,690.25
  5. Step 5: Solve for x
    x = 1,303,424,690.25/38,480
  6. Step 6: Final answer
    x = 33,872.78

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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.