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Finding the Fourth Proportional to 3,986.24, 5,978.94 and 1,064.80

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Solution

The fourth proportional to 3,986.24, 5,978.94 and 1,064.80 is: 1,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.24 : 5,978.94 = 1,064.80 : x
  2. Step 2: Convert to fraction form
    3,986.24/5,978.94 = 1,064.80/x
  3. Step 3: Cross multiply
    3,986.24x = 5,978.94 × 1,064.80
  4. Step 4: Simplify right side
    3,986.24x = 6,366,375.31
  5. Step 5: Solve for x
    x = 6,366,375.31/3,986.24
  6. Step 6: Final answer
    x = 1,597.09

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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.