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Finding the Fourth Proportional to 21,413.99, 32,112.47 and 8,257.97

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Solution

The fourth proportional to 21,413.99, 32,112.47 and 8,257.97 is: 12,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.99 : 32,112.47 = 8,257.97 : x
  2. Step 2: Convert to fraction form
    21,413.99/32,112.47 = 8,257.97/x
  3. Step 3: Cross multiply
    21,413.99x = 32,112.47 × 8,257.97
  4. Step 4: Simplify right side
    21,413.99x = 265,183,612.03
  5. Step 5: Solve for x
    x = 265,183,612.03/21,413.99
  6. Step 6: Final answer
    x = 12,383.66

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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.