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Finding the Fourth Proportional to 18,738, 25,858.56 and 10,354.80

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Solution

The fourth proportional to 18,738, 25,858.56 and 10,354.80 is: 14,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738 : 25,858.56 = 10,354.80 : x
  2. Step 2: Convert to fraction form
    18,738/25,858.56 = 10,354.80/x
  3. Step 3: Cross multiply
    18,738x = 25,858.56 × 10,354.80
  4. Step 4: Simplify right side
    18,738x = 267,760,217.09
  5. Step 5: Solve for x
    x = 267,760,217.09/18,738
  6. Step 6: Final answer
    x = 14,289.69

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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.