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Finding the Fourth Proportional to 6,813.87, 10,220.87 and 1,883.78

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Solution

The fourth proportional to 6,813.87, 10,220.87 and 1,883.78 is: 2,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.87 : 10,220.87 = 1,883.78 : x
  2. Step 2: Convert to fraction form
    6,813.87/10,220.87 = 1,883.78/x
  3. Step 3: Cross multiply
    6,813.87x = 10,220.87 × 1,883.78
  4. Step 4: Simplify right side
    6,813.87x = 19,253,809.97
  5. Step 5: Solve for x
    x = 19,253,809.97/6,813.87
  6. Step 6: Final answer
    x = 2,825.68

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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.