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Finding the Fourth Proportional to 2,228.85, 3,343.74 and 842.15

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Solution

The fourth proportional to 2,228.85, 3,343.74 and 842.15 is: 1,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.85 : 3,343.74 = 842.15 : x
  2. Step 2: Convert to fraction form
    2,228.85/3,343.74 = 842.15/x
  3. Step 3: Cross multiply
    2,228.85x = 3,343.74 × 842.15
  4. Step 4: Simplify right side
    2,228.85x = 2,815,930.64
  5. Step 5: Solve for x
    x = 2,815,930.64/2,228.85
  6. Step 6: Final answer
    x = 1,263.40

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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.