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Finding the Fourth Proportional to 2,021.20, 3,031.94 and 788.20

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Solution

The fourth proportional to 2,021.20, 3,031.94 and 788.20 is: 1,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.20 : 3,031.94 = 788.20 : x
  2. Step 2: Convert to fraction form
    2,021.20/3,031.94 = 788.20/x
  3. Step 3: Cross multiply
    2,021.20x = 3,031.94 × 788.20
  4. Step 4: Simplify right side
    2,021.20x = 2,389,775.11
  5. Step 5: Solve for x
    x = 2,389,775.11/2,021.20
  6. Step 6: Final answer
    x = 1,182.35

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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.