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Finding the Fourth Proportional to 10,800, 16,201.62 and 3,781.89

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Solution

The fourth proportional to 10,800, 16,201.62 and 3,781.89 is: 5,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800 : 16,201.62 = 3,781.89 : x
  2. Step 2: Convert to fraction form
    10,800/16,201.62 = 3,781.89/x
  3. Step 3: Cross multiply
    10,800x = 16,201.62 × 3,781.89
  4. Step 4: Simplify right side
    10,800x = 61,272,744.66
  5. Step 5: Solve for x
    x = 61,272,744.66/10,800
  6. Step 6: Final answer
    x = 5,673.40

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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.