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Finding the Fourth Proportional to 3,493.54, 4,822.12 and 2,078.22

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Solution

The fourth proportional to 3,493.54, 4,822.12 and 2,078.22 is: 2,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.54 : 4,822.12 = 2,078.22 : x
  2. Step 2: Convert to fraction form
    3,493.54/4,822.12 = 2,078.22/x
  3. Step 3: Cross multiply
    3,493.54x = 4,822.12 × 2,078.22
  4. Step 4: Simplify right side
    3,493.54x = 10,021,426.23
  5. Step 5: Solve for x
    x = 10,021,426.23/3,493.54
  6. Step 6: Final answer
    x = 2,868.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.