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Finding the Fourth Proportional to 20,692.54, 31,033.28 and 9,003

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Solution

The fourth proportional to 20,692.54, 31,033.28 and 9,003 is: 13,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.54 : 31,033.28 = 9,003 : x
  2. Step 2: Convert to fraction form
    20,692.54/31,033.28 = 9,003/x
  3. Step 3: Cross multiply
    20,692.54x = 31,033.28 × 9,003
  4. Step 4: Simplify right side
    20,692.54x = 279,392,619.84
  5. Step 5: Solve for x
    x = 279,392,619.84/20,692.54
  6. Step 6: Final answer
    x = 13,502.09

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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.