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Finding the Fourth Proportional to 2,020.95, 3,031.74 and 722.34

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Solution

The fourth proportional to 2,020.95, 3,031.74 and 722.34 is: 1,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.95 : 3,031.74 = 722.34 : x
  2. Step 2: Convert to fraction form
    2,020.95/3,031.74 = 722.34/x
  3. Step 3: Cross multiply
    2,020.95x = 3,031.74 × 722.34
  4. Step 4: Simplify right side
    2,020.95x = 2,189,947.07
  5. Step 5: Solve for x
    x = 2,189,947.07/2,020.95
  6. Step 6: Final answer
    x = 1,083.62

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1.5x scale

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.