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Finding the Fourth Proportional to 38,378, 57,593.10 and 13,754

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Solution

The fourth proportional to 38,378, 57,593.10 and 13,754 is: 20,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378 : 57,593.10 = 13,754 : x
  2. Step 2: Convert to fraction form
    38,378/57,593.10 = 13,754/x
  3. Step 3: Cross multiply
    38,378x = 57,593.10 × 13,754
  4. Step 4: Simplify right side
    38,378x = 792,135,497.40
  5. Step 5: Solve for x
    x = 792,135,497.40/38,378
  6. Step 6: Final answer
    x = 20,640.35

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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.