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Finding the Fourth Proportional to 7,782.26, 10,739.22 and 4,245.44

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Solution

The fourth proportional to 7,782.26, 10,739.22 and 4,245.44 is: 5,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.26 : 10,739.22 = 4,245.44 : x
  2. Step 2: Convert to fraction form
    7,782.26/10,739.22 = 4,245.44/x
  3. Step 3: Cross multiply
    7,782.26x = 10,739.22 × 4,245.44
  4. Step 4: Simplify right side
    7,782.26x = 45,592,714.16
  5. Step 5: Solve for x
    x = 45,592,714.16/7,782.26
  6. Step 6: Final answer
    x = 5,858.54

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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.