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Finding the Fourth Proportional to 11,413.78, 15,753.09 and 6,634.38

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Solution

The fourth proportional to 11,413.78, 15,753.09 and 6,634.38 is: 9,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.78 : 15,753.09 = 6,634.38 : x
  2. Step 2: Convert to fraction form
    11,413.78/15,753.09 = 6,634.38/x
  3. Step 3: Cross multiply
    11,413.78x = 15,753.09 × 6,634.38
  4. Step 4: Simplify right side
    11,413.78x = 104,511,985.23
  5. Step 5: Solve for x
    x = 104,511,985.23/11,413.78
  6. Step 6: Final answer
    x = 9,156.65

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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.