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Finding the Fourth Proportional to 2,847.01, 4,269.43 and 997.78

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Solution

The fourth proportional to 2,847.01, 4,269.43 and 997.78 is: 1,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.01 : 4,269.43 = 997.78 : x
  2. Step 2: Convert to fraction form
    2,847.01/4,269.43 = 997.78/x
  3. Step 3: Cross multiply
    2,847.01x = 4,269.43 × 997.78
  4. Step 4: Simplify right side
    2,847.01x = 4,259,951.87
  5. Step 5: Solve for x
    x = 4,259,951.87/2,847.01
  6. Step 6: Final answer
    x = 1,496.29

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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.