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Finding the Fourth Proportional to 3,906.88, 5,394.01 and 3,486.51

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Solution

The fourth proportional to 3,906.88, 5,394.01 and 3,486.51 is: 4,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.88 : 5,394.01 = 3,486.51 : x
  2. Step 2: Convert to fraction form
    3,906.88/5,394.01 = 3,486.51/x
  3. Step 3: Cross multiply
    3,906.88x = 5,394.01 × 3,486.51
  4. Step 4: Simplify right side
    3,906.88x = 18,806,294.39
  5. Step 5: Solve for x
    x = 18,806,294.39/3,906.88
  6. Step 6: Final answer
    x = 4,813.64

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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.