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Finding the Fourth Proportional to 7,105.54, 9,805.64 and 3,961.72

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Solution

The fourth proportional to 7,105.54, 9,805.64 and 3,961.72 is: 5,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.54 : 9,805.64 = 3,961.72 : x
  2. Step 2: Convert to fraction form
    7,105.54/9,805.64 = 3,961.72/x
  3. Step 3: Cross multiply
    7,105.54x = 9,805.64 × 3,961.72
  4. Step 4: Simplify right side
    7,105.54x = 38,847,131.26
  5. Step 5: Solve for x
    x = 38,847,131.26/7,105.54
  6. Step 6: Final answer
    x = 5,467.16

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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.