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Finding the Fourth Proportional to 19,829.88, 29,744.84 and 8,134.90

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Solution

The fourth proportional to 19,829.88, 29,744.84 and 8,134.90 is: 12,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.88 : 29,744.84 = 8,134.90 : x
  2. Step 2: Convert to fraction form
    19,829.88/29,744.84 = 8,134.90/x
  3. Step 3: Cross multiply
    19,829.88x = 29,744.84 × 8,134.90
  4. Step 4: Simplify right side
    19,829.88x = 241,971,298.92
  5. Step 5: Solve for x
    x = 241,971,298.92/19,829.88
  6. Step 6: Final answer
    x = 12,202.36

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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.