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Finding the Fourth Proportional to 7,871.44, 11,805 and 6,998.80

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Solution

The fourth proportional to 7,871.44, 11,805 and 6,998.80 is: 10,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.44 : 11,805 = 6,998.80 : x
  2. Step 2: Convert to fraction form
    7,871.44/11,805 = 6,998.80/x
  3. Step 3: Cross multiply
    7,871.44x = 11,805 × 6,998.80
  4. Step 4: Simplify right side
    7,871.44x = 82,620,834
  5. Step 5: Solve for x
    x = 82,620,834/7,871.44
  6. Step 6: Final answer
    x = 10,496.28

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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.