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Finding the Fourth Proportional to 18,995.22, 28,450 and 9,141.87

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Solution

The fourth proportional to 18,995.22, 28,450 and 9,141.87 is: 13,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,995.22 : 28,450 = 9,141.87 : x
  2. Step 2: Convert to fraction form
    18,995.22/28,450 = 9,141.87/x
  3. Step 3: Cross multiply
    18,995.22x = 28,450 × 9,141.87
  4. Step 4: Simplify right side
    18,995.22x = 260,086,201.50
  5. Step 5: Solve for x
    x = 260,086,201.50/18,995.22
  6. Step 6: Final answer
    x = 13,692.19

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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.