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Finding the Fourth Proportional to 19,850.18, 29,782.17 and 13,213.31

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Solution

The fourth proportional to 19,850.18, 29,782.17 and 13,213.31 is: 19,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.18 : 29,782.17 = 13,213.31 : x
  2. Step 2: Convert to fraction form
    19,850.18/29,782.17 = 13,213.31/x
  3. Step 3: Cross multiply
    19,850.18x = 29,782.17 × 13,213.31
  4. Step 4: Simplify right side
    19,850.18x = 393,520,895.77
  5. Step 5: Solve for x
    x = 393,520,895.77/19,850.18
  6. Step 6: Final answer
    x = 19,824.56

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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.