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Finding the Fourth Proportional to 2,684.66, 4,027.79 and 1,810.67

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Solution

The fourth proportional to 2,684.66, 4,027.79 and 1,810.67 is: 2,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.66 : 4,027.79 = 1,810.67 : x
  2. Step 2: Convert to fraction form
    2,684.66/4,027.79 = 1,810.67/x
  3. Step 3: Cross multiply
    2,684.66x = 4,027.79 × 1,810.67
  4. Step 4: Simplify right side
    2,684.66x = 7,292,969.33
  5. Step 5: Solve for x
    x = 7,292,969.33/2,684.66
  6. Step 6: Final answer
    x = 2,716.54

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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.