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Finding the Fourth Proportional to 16,163.61, 22,298.72 and 9,872.25

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Solution

The fourth proportional to 16,163.61, 22,298.72 and 9,872.25 is: 13,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.61 : 22,298.72 = 9,872.25 : x
  2. Step 2: Convert to fraction form
    16,163.61/22,298.72 = 9,872.25/x
  3. Step 3: Cross multiply
    16,163.61x = 22,298.72 × 9,872.25
  4. Step 4: Simplify right side
    16,163.61x = 220,138,489.16
  5. Step 5: Solve for x
    x = 220,138,489.16/16,163.61
  6. Step 6: Final answer
    x = 13,619.39

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