Home / 2,021.12-3,031.52-788.32

Finding the Fourth Proportional to 2,021.12, 3,031.52 and 788.32

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Solution

The fourth proportional to 2,021.12, 3,031.52 and 788.32 is: 1,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.12 : 3,031.52 = 788.32 : x
  2. Step 2: Convert to fraction form
    2,021.12/3,031.52 = 788.32/x
  3. Step 3: Cross multiply
    2,021.12x = 3,031.52 × 788.32
  4. Step 4: Simplify right side
    2,021.12x = 2,389,807.85
  5. Step 5: Solve for x
    x = 2,389,807.85/2,021.12
  6. Step 6: Final answer
    x = 1,182.42

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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.