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Finding the Fourth Proportional to 19,692.78, 29,520.47 and 7,853.82

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Solution

The fourth proportional to 19,692.78, 29,520.47 and 7,853.82 is: 11,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.78 : 29,520.47 = 7,853.82 : x
  2. Step 2: Convert to fraction form
    19,692.78/29,520.47 = 7,853.82/x
  3. Step 3: Cross multiply
    19,692.78x = 29,520.47 × 7,853.82
  4. Step 4: Simplify right side
    19,692.78x = 231,848,457.70
  5. Step 5: Solve for x
    x = 231,848,457.70/19,692.78
  6. Step 6: Final answer
    x = 11,773.27

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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.