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Finding the Fourth Proportional to 11,891.58, 16,413.96 and 6,859.14

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Solution

The fourth proportional to 11,891.58, 16,413.96 and 6,859.14 is: 9,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.58 : 16,413.96 = 6,859.14 : x
  2. Step 2: Convert to fraction form
    11,891.58/16,413.96 = 6,859.14/x
  3. Step 3: Cross multiply
    11,891.58x = 16,413.96 × 6,859.14
  4. Step 4: Simplify right side
    11,891.58x = 112,585,649.59
  5. Step 5: Solve for x
    x = 112,585,649.59/11,891.58
  6. Step 6: Final answer
    x = 9,467.68

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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.