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Finding the Fourth Proportional to 3,550.98, 4,900.49 and 2,114.64

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Solution

The fourth proportional to 3,550.98, 4,900.49 and 2,114.64 is: 2,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.98 : 4,900.49 = 2,114.64 : x
  2. Step 2: Convert to fraction form
    3,550.98/4,900.49 = 2,114.64/x
  3. Step 3: Cross multiply
    3,550.98x = 4,900.49 × 2,114.64
  4. Step 4: Simplify right side
    3,550.98x = 10,362,769.53
  5. Step 5: Solve for x
    x = 10,362,769.53/3,550.98
  6. Step 6: Final answer
    x = 2,918.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.