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Finding the Fourth Proportional to 38,538, 53,182.44 and 20,874

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Solution

The fourth proportional to 38,538, 53,182.44 and 20,874 is: 28,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538 : 53,182.44 = 20,874 : x
  2. Step 2: Convert to fraction form
    38,538/53,182.44 = 20,874/x
  3. Step 3: Cross multiply
    38,538x = 53,182.44 × 20,874
  4. Step 4: Simplify right side
    38,538x = 1,110,130,252.56
  5. Step 5: Solve for x
    x = 1,110,130,252.56/38,538
  6. Step 6: Final answer
    x = 28,806.12

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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.