Home / 2,284.34-3,427.04-823.50

Finding the Fourth Proportional to 2,284.34, 3,427.04 and 823.50

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Solution

The fourth proportional to 2,284.34, 3,427.04 and 823.50 is: 1,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.34 : 3,427.04 = 823.50 : x
  2. Step 2: Convert to fraction form
    2,284.34/3,427.04 = 823.50/x
  3. Step 3: Cross multiply
    2,284.34x = 3,427.04 × 823.50
  4. Step 4: Simplify right side
    2,284.34x = 2,822,169.50
  5. Step 5: Solve for x
    x = 2,822,169.50/2,284.34
  6. Step 6: Final answer
    x = 1,235.44

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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.