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Finding the Fourth Proportional to 7,105.44, 9,804.38 and 3,961.65

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Solution

The fourth proportional to 7,105.44, 9,804.38 and 3,961.65 is: 5,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.44 : 9,804.38 = 3,961.65 : x
  2. Step 2: Convert to fraction form
    7,105.44/9,804.38 = 3,961.65/x
  3. Step 3: Cross multiply
    7,105.44x = 9,804.38 × 3,961.65
  4. Step 4: Simplify right side
    7,105.44x = 38,841,502.22
  5. Step 5: Solve for x
    x = 38,841,502.22/7,105.44
  6. Step 6: Final answer
    x = 5,466.45

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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.