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Finding the Fourth Proportional to 11,894.31, 16,413.98 and 6,858.54

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Solution

The fourth proportional to 11,894.31, 16,413.98 and 6,858.54 is: 9,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.31 : 16,413.98 = 6,858.54 : x
  2. Step 2: Convert to fraction form
    11,894.31/16,413.98 = 6,858.54/x
  3. Step 3: Cross multiply
    11,894.31x = 16,413.98 × 6,858.54
  4. Step 4: Simplify right side
    11,894.31x = 112,575,904.10
  5. Step 5: Solve for x
    x = 112,575,904.10/11,894.31
  6. Step 6: Final answer
    x = 9,464.69

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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.