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Finding the Fourth Proportional to 7,027, 9,697.22 and 3,840.26

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Solution

The fourth proportional to 7,027, 9,697.22 and 3,840.26 is: 5,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027 : 9,697.22 = 3,840.26 : x
  2. Step 2: Convert to fraction form
    7,027/9,697.22 = 3,840.26/x
  3. Step 3: Cross multiply
    7,027x = 9,697.22 × 3,840.26
  4. Step 4: Simplify right side
    7,027x = 37,239,846.08
  5. Step 5: Solve for x
    x = 37,239,846.08/7,027
  6. Step 6: Final answer
    x = 5,299.54

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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.