Home / 2,284.72-3,422.44-1,823.28

Finding the Fourth Proportional to 2,284.72, 3,422.44 and 1,823.28

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Solution

The fourth proportional to 2,284.72, 3,422.44 and 1,823.28 is: 2,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.72 : 3,422.44 = 1,823.28 : x
  2. Step 2: Convert to fraction form
    2,284.72/3,422.44 = 1,823.28/x
  3. Step 3: Cross multiply
    2,284.72x = 3,422.44 × 1,823.28
  4. Step 4: Simplify right side
    2,284.72x = 6,240,066.40
  5. Step 5: Solve for x
    x = 6,240,066.40/2,284.72
  6. Step 6: Final answer
    x = 2,731.22

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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.