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Finding the Fourth Proportional to 18,664.98, 27,998.49 and 7,570.02

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Solution

The fourth proportional to 18,664.98, 27,998.49 and 7,570.02 is: 11,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664.98 : 27,998.49 = 7,570.02 : x
  2. Step 2: Convert to fraction form
    18,664.98/27,998.49 = 7,570.02/x
  3. Step 3: Cross multiply
    18,664.98x = 27,998.49 × 7,570.02
  4. Step 4: Simplify right side
    18,664.98x = 211,949,129.27
  5. Step 5: Solve for x
    x = 211,949,129.27/18,664.98
  6. Step 6: Final answer
    x = 11,355.44

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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.