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Finding the Fourth Proportional to 2,922.16, 4,383.30 and 842.44

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Solution

The fourth proportional to 2,922.16, 4,383.30 and 842.44 is: 1,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.16 : 4,383.30 = 842.44 : x
  2. Step 2: Convert to fraction form
    2,922.16/4,383.30 = 842.44/x
  3. Step 3: Cross multiply
    2,922.16x = 4,383.30 × 842.44
  4. Step 4: Simplify right side
    2,922.16x = 3,692,667.25
  5. Step 5: Solve for x
    x = 3,692,667.25/2,922.16
  6. Step 6: Final answer
    x = 1,263.68

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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.