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Finding the Fourth Proportional to 19,982.60, 29,973.89 and 5,942.57

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Solution

The fourth proportional to 19,982.60, 29,973.89 and 5,942.57 is: 8,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.60 : 29,973.89 = 5,942.57 : x
  2. Step 2: Convert to fraction form
    19,982.60/29,973.89 = 5,942.57/x
  3. Step 3: Cross multiply
    19,982.60x = 29,973.89 × 5,942.57
  4. Step 4: Simplify right side
    19,982.60x = 178,121,954.35
  5. Step 5: Solve for x
    x = 178,121,954.35/19,982.60
  6. Step 6: Final answer
    x = 8,913.85

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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.