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Finding the Fourth Proportional to 2,820.20, 4,230.42 and 872.42

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Solution

The fourth proportional to 2,820.20, 4,230.42 and 872.42 is: 1,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.20 : 4,230.42 = 872.42 : x
  2. Step 2: Convert to fraction form
    2,820.20/4,230.42 = 872.42/x
  3. Step 3: Cross multiply
    2,820.20x = 4,230.42 × 872.42
  4. Step 4: Simplify right side
    2,820.20x = 3,690,703.02
  5. Step 5: Solve for x
    x = 3,690,703.02/2,820.20
  6. Step 6: Final answer
    x = 1,308.67

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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.