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Finding the Fourth Proportional to 11,850, 16,353 and 7,134.48

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Solution

The fourth proportional to 11,850, 16,353 and 7,134.48 is: 9,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850 : 16,353 = 7,134.48 : x
  2. Step 2: Convert to fraction form
    11,850/16,353 = 7,134.48/x
  3. Step 3: Cross multiply
    11,850x = 16,353 × 7,134.48
  4. Step 4: Simplify right side
    11,850x = 116,670,151.44
  5. Step 5: Solve for x
    x = 116,670,151.44/11,850
  6. Step 6: Final answer
    x = 9,845.58

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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.