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Finding the Fourth Proportional to 19,692.09, 29,539.97 and 7,843

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Solution

The fourth proportional to 19,692.09, 29,539.97 and 7,843 is: 11,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.09 : 29,539.97 = 7,843 : x
  2. Step 2: Convert to fraction form
    19,692.09/29,539.97 = 7,843/x
  3. Step 3: Cross multiply
    19,692.09x = 29,539.97 × 7,843
  4. Step 4: Simplify right side
    19,692.09x = 231,681,984.71
  5. Step 5: Solve for x
    x = 231,681,984.71/19,692.09
  6. Step 6: Final answer
    x = 11,765.23

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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.