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Finding the Fourth Proportional to 12,793.14, 19,192.32 and 5,397.60

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Solution

The fourth proportional to 12,793.14, 19,192.32 and 5,397.60 is: 8,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.14 : 19,192.32 = 5,397.60 : x
  2. Step 2: Convert to fraction form
    12,793.14/19,192.32 = 5,397.60/x
  3. Step 3: Cross multiply
    12,793.14x = 19,192.32 × 5,397.60
  4. Step 4: Simplify right side
    12,793.14x = 103,592,466.43
  5. Step 5: Solve for x
    x = 103,592,466.43/12,793.14
  6. Step 6: Final answer
    x = 8,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.