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Finding the Fourth Proportional to 20,843.84, 31,265.94 and 6,992.84

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Solution

The fourth proportional to 20,843.84, 31,265.94 and 6,992.84 is: 10,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.84 : 31,265.94 = 6,992.84 : x
  2. Step 2: Convert to fraction form
    20,843.84/31,265.94 = 6,992.84/x
  3. Step 3: Cross multiply
    20,843.84x = 31,265.94 × 6,992.84
  4. Step 4: Simplify right side
    20,843.84x = 218,637,715.87
  5. Step 5: Solve for x
    x = 218,637,715.87/20,843.84
  6. Step 6: Final answer
    x = 10,489.32

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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.