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Finding the Fourth Proportional to 3,990.70, 5,986.47 and 1,393.66

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Solution

The fourth proportional to 3,990.70, 5,986.47 and 1,393.66 is: 2,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.70 : 5,986.47 = 1,393.66 : x
  2. Step 2: Convert to fraction form
    3,990.70/5,986.47 = 1,393.66/x
  3. Step 3: Cross multiply
    3,990.70x = 5,986.47 × 1,393.66
  4. Step 4: Simplify right side
    3,990.70x = 8,343,103.78
  5. Step 5: Solve for x
    x = 8,343,103.78/3,990.70
  6. Step 6: Final answer
    x = 2,090.64

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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.