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Finding the Fourth Proportional to 11,127.50, 16,694.10 and 7,847.00

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Solution

The fourth proportional to 11,127.50, 16,694.10 and 7,847.00 is: 11,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,127.50 : 16,694.10 = 7,847.00 : x
  2. Step 2: Convert to fraction form
    11,127.50/16,694.10 = 7,847.00/x
  3. Step 3: Cross multiply
    11,127.50x = 16,694.10 × 7,847.00
  4. Step 4: Simplify right side
    11,127.50x = 130,998,628.78
  5. Step 5: Solve for x
    x = 130,998,628.78/11,127.50
  6. Step 6: Final answer
    x = 11,772.51

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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.