Home / 2,281.23-3,423.44-820.42

Finding the Fourth Proportional to 2,281.23, 3,423.44 and 820.42

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Solution

The fourth proportional to 2,281.23, 3,423.44 and 820.42 is: 1,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.23 : 3,423.44 = 820.42 : x
  2. Step 2: Convert to fraction form
    2,281.23/3,423.44 = 820.42/x
  3. Step 3: Cross multiply
    2,281.23x = 3,423.44 × 820.42
  4. Step 4: Simplify right side
    2,281.23x = 2,808,652.14
  5. Step 5: Solve for x
    x = 2,808,652.14/2,281.23
  6. Step 6: Final answer
    x = 1,231.20

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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.