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Finding the Fourth Proportional to 38,504, 53,135.68 and 20,840

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Solution

The fourth proportional to 38,504, 53,135.68 and 20,840 is: 28,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504 : 53,135.68 = 20,840 : x
  2. Step 2: Convert to fraction form
    38,504/53,135.68 = 20,840/x
  3. Step 3: Cross multiply
    38,504x = 53,135.68 × 20,840
  4. Step 4: Simplify right side
    38,504x = 1,107,347,571.20
  5. Step 5: Solve for x
    x = 1,107,347,571.20/38,504
  6. Step 6: Final answer
    x = 28,759.29

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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.