Home / 2,021.12-3,029.52-923.84

Finding the Fourth Proportional to 2,021.12, 3,029.52 and 923.84

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Solution

The fourth proportional to 2,021.12, 3,029.52 and 923.84 is: 1,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.12 : 3,029.52 = 923.84 : x
  2. Step 2: Convert to fraction form
    2,021.12/3,029.52 = 923.84/x
  3. Step 3: Cross multiply
    2,021.12x = 3,029.52 × 923.84
  4. Step 4: Simplify right side
    2,021.12x = 2,798,791.76
  5. Step 5: Solve for x
    x = 2,798,791.76/2,021.12
  6. Step 6: Final answer
    x = 1,384.77

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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.