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Finding the Fourth Proportional to 13,100.94, 18,074.07 and 7,793.82

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Solution

The fourth proportional to 13,100.94, 18,074.07 and 7,793.82 is: 10,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.94 : 18,074.07 = 7,793.82 : x
  2. Step 2: Convert to fraction form
    13,100.94/18,074.07 = 7,793.82/x
  3. Step 3: Cross multiply
    13,100.94x = 18,074.07 × 7,793.82
  4. Step 4: Simplify right side
    13,100.94x = 140,866,048.25
  5. Step 5: Solve for x
    x = 140,866,048.25/13,100.94
  6. Step 6: Final answer
    x = 10,752.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.