Home / 1,828.06-2,739.56-1,583.98

Finding the Fourth Proportional to 1,828.06, 2,739.56 and 1,583.98

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Solution

The fourth proportional to 1,828.06, 2,739.56 and 1,583.98 is: 2,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.06 : 2,739.56 = 1,583.98 : x
  2. Step 2: Convert to fraction form
    1,828.06/2,739.56 = 1,583.98/x
  3. Step 3: Cross multiply
    1,828.06x = 2,739.56 × 1,583.98
  4. Step 4: Simplify right side
    1,828.06x = 4,339,408.25
  5. Step 5: Solve for x
    x = 4,339,408.25/1,828.06
  6. Step 6: Final answer
    x = 2,373.78

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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.