Home / 2,969.75-4,098.25-1,643.45

Finding the Fourth Proportional to 2,969.75, 4,098.25 and 1,643.45

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Solution

The fourth proportional to 2,969.75, 4,098.25 and 1,643.45 is: 2,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.75 : 4,098.25 = 1,643.45 : x
  2. Step 2: Convert to fraction form
    2,969.75/4,098.25 = 1,643.45/x
  3. Step 3: Cross multiply
    2,969.75x = 4,098.25 × 1,643.45
  4. Step 4: Simplify right side
    2,969.75x = 6,735,290.88
  5. Step 5: Solve for x
    x = 6,735,290.88/2,969.75
  6. Step 6: Final answer
    x = 2,267.97

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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.