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Finding the Fourth Proportional to 4,273.85, 6,410.78 and 1,775.00

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Solution

The fourth proportional to 4,273.85, 6,410.78 and 1,775.00 is: 2,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.85 : 6,410.78 = 1,775.00 : x
  2. Step 2: Convert to fraction form
    4,273.85/6,410.78 = 1,775.00/x
  3. Step 3: Cross multiply
    4,273.85x = 6,410.78 × 1,775.00
  4. Step 4: Simplify right side
    4,273.85x = 11,379,093.57
  5. Step 5: Solve for x
    x = 11,379,093.57/4,273.85
  6. Step 6: Final answer
    x = 2,662.50

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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.