Home / 2,287.85-3,409.29-2,149.34

Finding the Fourth Proportional to 2,287.85, 3,409.29 and 2,149.34

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Solution

The fourth proportional to 2,287.85, 3,409.29 and 2,149.34 is: 3,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.85 : 3,409.29 = 2,149.34 : x
  2. Step 2: Convert to fraction form
    2,287.85/3,409.29 = 2,149.34/x
  3. Step 3: Cross multiply
    2,287.85x = 3,409.29 × 2,149.34
  4. Step 4: Simplify right side
    2,287.85x = 7,327,706.32
  5. Step 5: Solve for x
    x = 7,327,706.32/2,287.85
  6. Step 6: Final answer
    x = 3,202.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.