Home / 20,981.94-31,475.04-6,942

Finding the Fourth Proportional to 20,981.94, 31,475.04 and 6,942

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Solution

The fourth proportional to 20,981.94, 31,475.04 and 6,942 is: 10,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981.94 : 31,475.04 = 6,942 : x
  2. Step 2: Convert to fraction form
    20,981.94/31,475.04 = 6,942/x
  3. Step 3: Cross multiply
    20,981.94x = 31,475.04 × 6,942
  4. Step 4: Simplify right side
    20,981.94x = 218,499,727.68
  5. Step 5: Solve for x
    x = 218,499,727.68/20,981.94
  6. Step 6: Final answer
    x = 10,413.70

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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.