Home / 2,287.40-3,438.30-2,114.60

Finding the Fourth Proportional to 2,287.40, 3,438.30 and 2,114.60

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Solution

The fourth proportional to 2,287.40, 3,438.30 and 2,114.60 is: 3,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.40 : 3,438.30 = 2,114.60 : x
  2. Step 2: Convert to fraction form
    2,287.40/3,438.30 = 2,114.60/x
  3. Step 3: Cross multiply
    2,287.40x = 3,438.30 × 2,114.60
  4. Step 4: Simplify right side
    2,287.40x = 7,270,629.18
  5. Step 5: Solve for x
    x = 7,270,629.18/2,287.40
  6. Step 6: Final answer
    x = 3,178.56

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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.