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Finding the Fourth Proportional to 11,234, 16,851 and 3,442.76

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Solution

The fourth proportional to 11,234, 16,851 and 3,442.76 is: 5,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234 : 16,851 = 3,442.76 : x
  2. Step 2: Convert to fraction form
    11,234/16,851 = 3,442.76/x
  3. Step 3: Cross multiply
    11,234x = 16,851 × 3,442.76
  4. Step 4: Simplify right side
    11,234x = 58,013,948.76
  5. Step 5: Solve for x
    x = 58,013,948.76/11,234
  6. Step 6: Final answer
    x = 5,164.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.