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Finding the Fourth Proportional to 38,193.96, 57,283.32 and 12,891

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Solution

The fourth proportional to 38,193.96, 57,283.32 and 12,891 is: 19,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.96 : 57,283.32 = 12,891 : x
  2. Step 2: Convert to fraction form
    38,193.96/57,283.32 = 12,891/x
  3. Step 3: Cross multiply
    38,193.96x = 57,283.32 × 12,891
  4. Step 4: Simplify right side
    38,193.96x = 738,439,278.12
  5. Step 5: Solve for x
    x = 738,439,278.12/38,193.96
  6. Step 6: Final answer
    x = 19,333.93

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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.