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Finding the Fourth Proportional to 18,534, 25,576.92 and 11,910

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Solution

The fourth proportional to 18,534, 25,576.92 and 11,910 is: 16,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534 : 25,576.92 = 11,910 : x
  2. Step 2: Convert to fraction form
    18,534/25,576.92 = 11,910/x
  3. Step 3: Cross multiply
    18,534x = 25,576.92 × 11,910
  4. Step 4: Simplify right side
    18,534x = 304,621,117.20
  5. Step 5: Solve for x
    x = 304,621,117.20/18,534
  6. Step 6: Final answer
    x = 16,435.80

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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.