Home / 3,102.98-4,281.44-1,969.02

Finding the Fourth Proportional to 3,102.98, 4,281.44 and 1,969.02

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Solution

The fourth proportional to 3,102.98, 4,281.44 and 1,969.02 is: 2,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.98 : 4,281.44 = 1,969.02 : x
  2. Step 2: Convert to fraction form
    3,102.98/4,281.44 = 1,969.02/x
  3. Step 3: Cross multiply
    3,102.98x = 4,281.44 × 1,969.02
  4. Step 4: Simplify right side
    3,102.98x = 8,430,231.14
  5. Step 5: Solve for x
    x = 8,430,231.14/3,102.98
  6. Step 6: Final answer
    x = 2,716.82

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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.