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Finding the Fourth Proportional to 3,986.73, 5,978.30 and 1,213.74

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Solution

The fourth proportional to 3,986.73, 5,978.30 and 1,213.74 is: 1,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.73 : 5,978.30 = 1,213.74 : x
  2. Step 2: Convert to fraction form
    3,986.73/5,978.30 = 1,213.74/x
  3. Step 3: Cross multiply
    3,986.73x = 5,978.30 × 1,213.74
  4. Step 4: Simplify right side
    3,986.73x = 7,256,095.77
  5. Step 5: Solve for x
    x = 7,256,095.77/3,986.73
  6. Step 6: Final answer
    x = 1,820.06

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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.