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Finding the Fourth Proportional to 19,454.96, 29,193.80 and 8,209.62

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Solution

The fourth proportional to 19,454.96, 29,193.80 and 8,209.62 is: 12,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454.96 : 29,193.80 = 8,209.62 : x
  2. Step 2: Convert to fraction form
    19,454.96/29,193.80 = 8,209.62/x
  3. Step 3: Cross multiply
    19,454.96x = 29,193.80 × 8,209.62
  4. Step 4: Simplify right side
    19,454.96x = 239,669,963.31
  5. Step 5: Solve for x
    x = 239,669,963.31/19,454.96
  6. Step 6: Final answer
    x = 12,319.22

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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.