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Finding the Fourth Proportional to 12,793.67, 19,195.19 and 5,397.47

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Solution

The fourth proportional to 12,793.67, 19,195.19 and 5,397.47 is: 8,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.67 : 19,195.19 = 5,397.47 : x
  2. Step 2: Convert to fraction form
    12,793.67/19,195.19 = 5,397.47/x
  3. Step 3: Cross multiply
    12,793.67x = 19,195.19 × 5,397.47
  4. Step 4: Simplify right side
    12,793.67x = 103,605,462.17
  5. Step 5: Solve for x
    x = 103,605,462.17/12,793.67
  6. Step 6: Final answer
    x = 8,098.18

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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.