Home / 2,021.52-3,029.65-923.46

Finding the Fourth Proportional to 2,021.52, 3,029.65 and 923.46

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Solution

The fourth proportional to 2,021.52, 3,029.65 and 923.46 is: 1,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.52 : 3,029.65 = 923.46 : x
  2. Step 2: Convert to fraction form
    2,021.52/3,029.65 = 923.46/x
  3. Step 3: Cross multiply
    2,021.52x = 3,029.65 × 923.46
  4. Step 4: Simplify right side
    2,021.52x = 2,797,760.59
  5. Step 5: Solve for x
    x = 2,797,760.59/2,021.52
  6. Step 6: Final answer
    x = 1,383.99

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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.