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Finding the Fourth Proportional to 3,993.65, 5,990.00 and 1,071.72

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Solution

The fourth proportional to 3,993.65, 5,990.00 and 1,071.72 is: 1,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.65 : 5,990.00 = 1,071.72 : x
  2. Step 2: Convert to fraction form
    3,993.65/5,990.00 = 1,071.72/x
  3. Step 3: Cross multiply
    3,993.65x = 5,990.00 × 1,071.72
  4. Step 4: Simplify right side
    3,993.65x = 6,419,605.48
  5. Step 5: Solve for x
    x = 6,419,605.48/3,993.65
  6. Step 6: Final answer
    x = 1,607.46

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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.