Home / 2,814.56-4,222.24-867.36

Finding the Fourth Proportional to 2,814.56, 4,222.24 and 867.36

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Solution

The fourth proportional to 2,814.56, 4,222.24 and 867.36 is: 1,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.56 : 4,222.24 = 867.36 : x
  2. Step 2: Convert to fraction form
    2,814.56/4,222.24 = 867.36/x
  3. Step 3: Cross multiply
    2,814.56x = 4,222.24 × 867.36
  4. Step 4: Simplify right side
    2,814.56x = 3,662,202.09
  5. Step 5: Solve for x
    x = 3,662,202.09/2,814.56
  6. Step 6: Final answer
    x = 1,301.16

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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.