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Finding the Fourth Proportional to 7,477.37, 11,223 and 3,782.21

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Solution

The fourth proportional to 7,477.37, 11,223 and 3,782.21 is: 5,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.37 : 11,223 = 3,782.21 : x
  2. Step 2: Convert to fraction form
    7,477.37/11,223 = 3,782.21/x
  3. Step 3: Cross multiply
    7,477.37x = 11,223 × 3,782.21
  4. Step 4: Simplify right side
    7,477.37x = 42,447,742.83
  5. Step 5: Solve for x
    x = 42,447,742.83/7,477.37
  6. Step 6: Final answer
    x = 5,676.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.