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Finding the Fourth Proportional to 14,622, 20,178.44 and 7,998

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Solution

The fourth proportional to 14,622, 20,178.44 and 7,998 is: 11,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622 : 20,178.44 = 7,998 : x
  2. Step 2: Convert to fraction form
    14,622/20,178.44 = 7,998/x
  3. Step 3: Cross multiply
    14,622x = 20,178.44 × 7,998
  4. Step 4: Simplify right side
    14,622x = 161,387,163.12
  5. Step 5: Solve for x
    x = 161,387,163.12/14,622
  6. Step 6: Final answer
    x = 11,037.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.