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Finding the Fourth Proportional to 5,158.09, 7,729.02 and 3,990.99

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Solution

The fourth proportional to 5,158.09, 7,729.02 and 3,990.99 is: 5,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.09 : 7,729.02 = 3,990.99 : x
  2. Step 2: Convert to fraction form
    5,158.09/7,729.02 = 3,990.99/x
  3. Step 3: Cross multiply
    5,158.09x = 7,729.02 × 3,990.99
  4. Step 4: Simplify right side
    5,158.09x = 30,846,441.53
  5. Step 5: Solve for x
    x = 30,846,441.53/5,158.09
  6. Step 6: Final answer
    x = 5,980.21

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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.