Home / 2,383.39-3,575.56-823.45

Finding the Fourth Proportional to 2,383.39, 3,575.56 and 823.45

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Solution

The fourth proportional to 2,383.39, 3,575.56 and 823.45 is: 1,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.39 : 3,575.56 = 823.45 : x
  2. Step 2: Convert to fraction form
    2,383.39/3,575.56 = 823.45/x
  3. Step 3: Cross multiply
    2,383.39x = 3,575.56 × 823.45
  4. Step 4: Simplify right side
    2,383.39x = 2,944,283.88
  5. Step 5: Solve for x
    x = 2,944,283.88/2,383.39
  6. Step 6: Final answer
    x = 1,235.34

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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.