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Finding the Fourth Proportional to 19,193.38, 28,777.70 and 8,097.10

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Solution

The fourth proportional to 19,193.38, 28,777.70 and 8,097.10 is: 12,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,193.38 : 28,777.70 = 8,097.10 : x
  2. Step 2: Convert to fraction form
    19,193.38/28,777.70 = 8,097.10/x
  3. Step 3: Cross multiply
    19,193.38x = 28,777.70 × 8,097.10
  4. Step 4: Simplify right side
    19,193.38x = 233,015,914.67
  5. Step 5: Solve for x
    x = 233,015,914.67/19,193.38
  6. Step 6: Final answer
    x = 12,140.43

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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.