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Finding the Fourth Proportional to 18,726, 25,842 and 10,342.80

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Solution

The fourth proportional to 18,726, 25,842 and 10,342.80 is: 14,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,726 : 25,842 = 10,342.80 : x
  2. Step 2: Convert to fraction form
    18,726/25,842 = 10,342.80/x
  3. Step 3: Cross multiply
    18,726x = 25,842 × 10,342.80
  4. Step 4: Simplify right side
    18,726x = 267,278,637.60
  5. Step 5: Solve for x
    x = 267,278,637.60/18,726
  6. Step 6: Final answer
    x = 14,273.13

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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.