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Finding the Fourth Proportional to 19,998.50, 29,997.90 and 6,851

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Solution

The fourth proportional to 19,998.50, 29,997.90 and 6,851 is: 10,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,998.50 : 29,997.90 = 6,851 : x
  2. Step 2: Convert to fraction form
    19,998.50/29,997.90 = 6,851/x
  3. Step 3: Cross multiply
    19,998.50x = 29,997.90 × 6,851
  4. Step 4: Simplify right side
    19,998.50x = 205,515,612.90
  5. Step 5: Solve for x
    x = 205,515,612.90/19,998.50
  6. Step 6: Final answer
    x = 10,276.55

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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.