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Finding the Fourth Proportional to 6,338.36, 8,749.77 and 4,217.65

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Solution

The fourth proportional to 6,338.36, 8,749.77 and 4,217.65 is: 5,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.36 : 8,749.77 = 4,217.65 : x
  2. Step 2: Convert to fraction form
    6,338.36/8,749.77 = 4,217.65/x
  3. Step 3: Cross multiply
    6,338.36x = 8,749.77 × 4,217.65
  4. Step 4: Simplify right side
    6,338.36x = 36,903,467.44
  5. Step 5: Solve for x
    x = 36,903,467.44/6,338.36
  6. Step 6: Final answer
    x = 5,822.24

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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.