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Finding the Fourth Proportional to 38,427, 53,029.26 and 20,763

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Solution

The fourth proportional to 38,427, 53,029.26 and 20,763 is: 28,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427 : 53,029.26 = 20,763 : x
  2. Step 2: Convert to fraction form
    38,427/53,029.26 = 20,763/x
  3. Step 3: Cross multiply
    38,427x = 53,029.26 × 20,763
  4. Step 4: Simplify right side
    38,427x = 1,101,046,525.38
  5. Step 5: Solve for x
    x = 1,101,046,525.38/38,427
  6. Step 6: Final answer
    x = 28,652.94

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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.