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Finding the Fourth Proportional to 7,093.09, 9,788.38 and 3,906.31

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Solution

The fourth proportional to 7,093.09, 9,788.38 and 3,906.31 is: 5,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.09 : 9,788.38 = 3,906.31 : x
  2. Step 2: Convert to fraction form
    7,093.09/9,788.38 = 3,906.31/x
  3. Step 3: Cross multiply
    7,093.09x = 9,788.38 × 3,906.31
  4. Step 4: Simplify right side
    7,093.09x = 38,236,430.79
  5. Step 5: Solve for x
    x = 38,236,430.79/7,093.09
  6. Step 6: Final answer
    x = 5,390.66

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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.