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Finding the Fourth Proportional to 3,201.52, 4,797.02 and 2,786

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Solution

The fourth proportional to 3,201.52, 4,797.02 and 2,786 is: 4,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.52 : 4,797.02 = 2,786 : x
  2. Step 2: Convert to fraction form
    3,201.52/4,797.02 = 2,786/x
  3. Step 3: Cross multiply
    3,201.52x = 4,797.02 × 2,786
  4. Step 4: Simplify right side
    3,201.52x = 13,364,497.72
  5. Step 5: Solve for x
    x = 13,364,497.72/3,201.52
  6. Step 6: Final answer
    x = 4,174.42

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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.