Home / 2,289.16-3,433.72-828.28

Finding the Fourth Proportional to 2,289.16, 3,433.72 and 828.28

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Solution

The fourth proportional to 2,289.16, 3,433.72 and 828.28 is: 1,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.16 : 3,433.72 = 828.28 : x
  2. Step 2: Convert to fraction form
    2,289.16/3,433.72 = 828.28/x
  3. Step 3: Cross multiply
    2,289.16x = 3,433.72 × 828.28
  4. Step 4: Simplify right side
    2,289.16x = 2,844,081.60
  5. Step 5: Solve for x
    x = 2,844,081.60/2,289.16
  6. Step 6: Final answer
    x = 1,242.41

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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.