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Finding the Fourth Proportional to 15,913.46, 21,958.89 and 9,198.02

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Solution

The fourth proportional to 15,913.46, 21,958.89 and 9,198.02 is: 12,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.46 : 21,958.89 = 9,198.02 : x
  2. Step 2: Convert to fraction form
    15,913.46/21,958.89 = 9,198.02/x
  3. Step 3: Cross multiply
    15,913.46x = 21,958.89 × 9,198.02
  4. Step 4: Simplify right side
    15,913.46x = 201,978,309.40
  5. Step 5: Solve for x
    x = 201,978,309.40/15,913.46
  6. Step 6: Final answer
    x = 12,692.29

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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.