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Finding the Fourth Proportional to 3,410.99, 5,110.40 and 1,850.00

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Solution

The fourth proportional to 3,410.99, 5,110.40 and 1,850.00 is: 2,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.99 : 5,110.40 = 1,850.00 : x
  2. Step 2: Convert to fraction form
    3,410.99/5,110.40 = 1,850.00/x
  3. Step 3: Cross multiply
    3,410.99x = 5,110.40 × 1,850.00
  4. Step 4: Simplify right side
    3,410.99x = 9,454,250.27
  5. Step 5: Solve for x
    x = 9,454,250.27/3,410.99
  6. Step 6: Final answer
    x = 2,771.70

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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.