Home / 2,021.10-3,031.80-722.40

Finding the Fourth Proportional to 2,021.10, 3,031.80 and 722.40

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Solution

The fourth proportional to 2,021.10, 3,031.80 and 722.40 is: 1,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.10 : 3,031.80 = 722.40 : x
  2. Step 2: Convert to fraction form
    2,021.10/3,031.80 = 722.40/x
  3. Step 3: Cross multiply
    2,021.10x = 3,031.80 × 722.40
  4. Step 4: Simplify right side
    2,021.10x = 2,190,172.32
  5. Step 5: Solve for x
    x = 2,190,172.32/2,021.10
  6. Step 6: Final answer
    x = 1,083.65

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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.