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Finding the Fourth Proportional to 21,857.92, 32,786.57 and 6,275.54

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Solution

The fourth proportional to 21,857.92, 32,786.57 and 6,275.54 is: 9,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.92 : 32,786.57 = 6,275.54 : x
  2. Step 2: Convert to fraction form
    21,857.92/32,786.57 = 6,275.54/x
  3. Step 3: Cross multiply
    21,857.92x = 32,786.57 × 6,275.54
  4. Step 4: Simplify right side
    21,857.92x = 205,753,529.15
  5. Step 5: Solve for x
    x = 205,753,529.15/21,857.92
  6. Step 6: Final answer
    x = 9,413.23

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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.