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Finding the Fourth Proportional to 27,991.54, 41,990.47 and 9,274.02

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Solution

The fourth proportional to 27,991.54, 41,990.47 and 9,274.02 is: 13,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991.54 : 41,990.47 = 9,274.02 : x
  2. Step 2: Convert to fraction form
    27,991.54/41,990.47 = 9,274.02/x
  3. Step 3: Cross multiply
    27,991.54x = 41,990.47 × 9,274.02
  4. Step 4: Simplify right side
    27,991.54x = 389,420,458.59
  5. Step 5: Solve for x
    x = 389,420,458.59/27,991.54
  6. Step 6: Final answer
    x = 13,912.08

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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.