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Finding the Fourth Proportional to 19,692.25, 29,505.48 and 13,838.38

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Solution

The fourth proportional to 19,692.25, 29,505.48 and 13,838.38 is: 20,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.25 : 29,505.48 = 13,838.38 : x
  2. Step 2: Convert to fraction form
    19,692.25/29,505.48 = 13,838.38/x
  3. Step 3: Cross multiply
    19,692.25x = 29,505.48 × 13,838.38
  4. Step 4: Simplify right side
    19,692.25x = 408,308,044.32
  5. Step 5: Solve for x
    x = 408,308,044.32/19,692.25
  6. Step 6: Final answer
    x = 20,734.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.