Home / 2,021.14-3,031.57-788.32

Finding the Fourth Proportional to 2,021.14, 3,031.57 and 788.32

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Solution

The fourth proportional to 2,021.14, 3,031.57 and 788.32 is: 1,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.14 : 3,031.57 = 788.32 : x
  2. Step 2: Convert to fraction form
    2,021.14/3,031.57 = 788.32/x
  3. Step 3: Cross multiply
    2,021.14x = 3,031.57 × 788.32
  4. Step 4: Simplify right side
    2,021.14x = 2,389,847.26
  5. Step 5: Solve for x
    x = 2,389,847.26/2,021.14
  6. Step 6: Final answer
    x = 1,182.43

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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.