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Finding the Fourth Proportional to 7,477.91, 11,227.24 and 3,782.74

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Solution

The fourth proportional to 7,477.91, 11,227.24 and 3,782.74 is: 5,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.91 : 11,227.24 = 3,782.74 : x
  2. Step 2: Convert to fraction form
    7,477.91/11,227.24 = 3,782.74/x
  3. Step 3: Cross multiply
    7,477.91x = 11,227.24 × 3,782.74
  4. Step 4: Simplify right side
    7,477.91x = 42,469,729.84
  5. Step 5: Solve for x
    x = 42,469,729.84/7,477.91
  6. Step 6: Final answer
    x = 5,679.36

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1.5x scale

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.