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Finding the Fourth Proportional to 3,805, 5,698.54 and 3,192.64

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Solution

The fourth proportional to 3,805, 5,698.54 and 3,192.64 is: 4,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805 : 5,698.54 = 3,192.64 : x
  2. Step 2: Convert to fraction form
    3,805/5,698.54 = 3,192.64/x
  3. Step 3: Cross multiply
    3,805x = 5,698.54 × 3,192.64
  4. Step 4: Simplify right side
    3,805x = 18,193,386.75
  5. Step 5: Solve for x
    x = 18,193,386.75/3,805
  6. Step 6: Final answer
    x = 4,781.44

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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.