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Finding the Fourth Proportional to 9,263.36, 12,789.41 and 8,266.94

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Solution

The fourth proportional to 9,263.36, 12,789.41 and 8,266.94 is: 11,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.36 : 12,789.41 = 8,266.94 : x
  2. Step 2: Convert to fraction form
    9,263.36/12,789.41 = 8,266.94/x
  3. Step 3: Cross multiply
    9,263.36x = 12,789.41 × 8,266.94
  4. Step 4: Simplify right side
    9,263.36x = 105,729,285.11
  5. Step 5: Solve for x
    x = 105,729,285.11/9,263.36
  6. Step 6: Final answer
    x = 11,413.71

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1.5x scale

Why These Related Problems?

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