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Finding the Fourth Proportional to 38,502, 53,132.92 and 20,838

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Solution

The fourth proportional to 38,502, 53,132.92 and 20,838 is: 28,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502 : 53,132.92 = 20,838 : x
  2. Step 2: Convert to fraction form
    38,502/53,132.92 = 20,838/x
  3. Step 3: Cross multiply
    38,502x = 53,132.92 × 20,838
  4. Step 4: Simplify right side
    38,502x = 1,107,183,786.96
  5. Step 5: Solve for x
    x = 1,107,183,786.96/38,502
  6. Step 6: Final answer
    x = 28,756.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.