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Finding the Fourth Proportional to 3,239.00, 4,857.77 and 1,264.68

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Solution

The fourth proportional to 3,239.00, 4,857.77 and 1,264.68 is: 1,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.00 : 4,857.77 = 1,264.68 : x
  2. Step 2: Convert to fraction form
    3,239.00/4,857.77 = 1,264.68/x
  3. Step 3: Cross multiply
    3,239.00x = 4,857.77 × 1,264.68
  4. Step 4: Simplify right side
    3,239.00x = 6,143,527.73
  5. Step 5: Solve for x
    x = 6,143,527.73/3,239.00
  6. Step 6: Final answer
    x = 1,896.73

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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.