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Finding the Fourth Proportional to 6,416.63, 8,855.09 and 3,583.85

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Solution

The fourth proportional to 6,416.63, 8,855.09 and 3,583.85 is: 4,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.63 : 8,855.09 = 3,583.85 : x
  2. Step 2: Convert to fraction form
    6,416.63/8,855.09 = 3,583.85/x
  3. Step 3: Cross multiply
    6,416.63x = 8,855.09 × 3,583.85
  4. Step 4: Simplify right side
    6,416.63x = 31,735,252.10
  5. Step 5: Solve for x
    x = 31,735,252.10/6,416.63
  6. Step 6: Final answer
    x = 4,945.79

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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.