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Finding the Fourth Proportional to 12,951.86, 19,413.09 and 11,388.84

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Solution

The fourth proportional to 12,951.86, 19,413.09 and 11,388.84 is: 17,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.86 : 19,413.09 = 11,388.84 : x
  2. Step 2: Convert to fraction form
    12,951.86/19,413.09 = 11,388.84/x
  3. Step 3: Cross multiply
    12,951.86x = 19,413.09 × 11,388.84
  4. Step 4: Simplify right side
    12,951.86x = 221,092,575.92
  5. Step 5: Solve for x
    x = 221,092,575.92/12,951.86
  6. Step 6: Final answer
    x = 17,070.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.