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Finding the Fourth Proportional to 38,539.72, 57,809.28 and 19,825

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Solution

The fourth proportional to 38,539.72, 57,809.28 and 19,825 is: 29,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539.72 : 57,809.28 = 19,825 : x
  2. Step 2: Convert to fraction form
    38,539.72/57,809.28 = 19,825/x
  3. Step 3: Cross multiply
    38,539.72x = 57,809.28 × 19,825
  4. Step 4: Simplify right side
    38,539.72x = 1,146,068,976
  5. Step 5: Solve for x
    x = 1,146,068,976/38,539.72
  6. Step 6: Final answer
    x = 29,737.35

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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.