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Finding the Fourth Proportional to 10,813.88, 14,879.82 and 8,294.98

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Solution

The fourth proportional to 10,813.88, 14,879.82 and 8,294.98 is: 11,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.88 : 14,879.82 = 8,294.98 : x
  2. Step 2: Convert to fraction form
    10,813.88/14,879.82 = 8,294.98/x
  3. Step 3: Cross multiply
    10,813.88x = 14,879.82 × 8,294.98
  4. Step 4: Simplify right side
    10,813.88x = 123,427,809.30
  5. Step 5: Solve for x
    x = 123,427,809.30/10,813.88
  6. Step 6: Final answer
    x = 11,413.83

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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.