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Finding the Fourth Proportional to 38,083.96, 57,138.90 and 19,603

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Solution

The fourth proportional to 38,083.96, 57,138.90 and 19,603 is: 29,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083.96 : 57,138.90 = 19,603 : x
  2. Step 2: Convert to fraction form
    38,083.96/57,138.90 = 19,603/x
  3. Step 3: Cross multiply
    38,083.96x = 57,138.90 × 19,603
  4. Step 4: Simplify right side
    38,083.96x = 1,120,093,856.70
  5. Step 5: Solve for x
    x = 1,120,093,856.70/38,083.96
  6. Step 6: Final answer
    x = 29,411.17

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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.