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Finding the Fourth Proportional to 19,686, 29,542.68 and 7,999.23

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Solution

The fourth proportional to 19,686, 29,542.68 and 7,999.23 is: 12,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686 : 29,542.68 = 7,999.23 : x
  2. Step 2: Convert to fraction form
    19,686/29,542.68 = 7,999.23/x
  3. Step 3: Cross multiply
    19,686x = 29,542.68 × 7,999.23
  4. Step 4: Simplify right side
    19,686x = 236,318,692.14
  5. Step 5: Solve for x
    x = 236,318,692.14/19,686
  6. Step 6: Final answer
    x = 12,004.40

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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.