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Finding the Fourth Proportional to 3,852.99, 5,784.46 and 2,005.38

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Solution

The fourth proportional to 3,852.99, 5,784.46 and 2,005.38 is: 3,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.99 : 5,784.46 = 2,005.38 : x
  2. Step 2: Convert to fraction form
    3,852.99/5,784.46 = 2,005.38/x
  3. Step 3: Cross multiply
    3,852.99x = 5,784.46 × 2,005.38
  4. Step 4: Simplify right side
    3,852.99x = 11,600,035.38
  5. Step 5: Solve for x
    x = 11,600,035.38/3,852.99
  6. Step 6: Final answer
    x = 3,010.66

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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.