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Finding the Fourth Proportional to 11,181.11, 15,413.68 and 7,813.47

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Solution

The fourth proportional to 11,181.11, 15,413.68 and 7,813.47 is: 10,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.11 : 15,413.68 = 7,813.47 : x
  2. Step 2: Convert to fraction form
    11,181.11/15,413.68 = 7,813.47/x
  3. Step 3: Cross multiply
    11,181.11x = 15,413.68 × 7,813.47
  4. Step 4: Simplify right side
    11,181.11x = 120,434,326.27
  5. Step 5: Solve for x
    x = 120,434,326.27/11,181.11
  6. Step 6: Final answer
    x = 10,771.23

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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.