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Finding the Fourth Proportional to 7,819.01, 11,728.61 and 2,553.98

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Solution

The fourth proportional to 7,819.01, 11,728.61 and 2,553.98 is: 3,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.01 : 11,728.61 = 2,553.98 : x
  2. Step 2: Convert to fraction form
    7,819.01/11,728.61 = 2,553.98/x
  3. Step 3: Cross multiply
    7,819.01x = 11,728.61 × 2,553.98
  4. Step 4: Simplify right side
    7,819.01x = 29,954,576.72
  5. Step 5: Solve for x
    x = 29,954,576.72/7,819.01
  6. Step 6: Final answer
    x = 3,831.00

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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.