Home / 2,428.60-3,643.80-968.80

Finding the Fourth Proportional to 2,428.60, 3,643.80 and 968.80

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Solution

The fourth proportional to 2,428.60, 3,643.80 and 968.80 is: 1,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.60 : 3,643.80 = 968.80 : x
  2. Step 2: Convert to fraction form
    2,428.60/3,643.80 = 968.80/x
  3. Step 3: Cross multiply
    2,428.60x = 3,643.80 × 968.80
  4. Step 4: Simplify right side
    2,428.60x = 3,530,113.44
  5. Step 5: Solve for x
    x = 3,530,113.44/2,428.60
  6. Step 6: Final answer
    x = 1,453.56

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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.