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Finding the Fourth Proportional to 6,409.81, 8,849.54 and 4,914.85

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Solution

The fourth proportional to 6,409.81, 8,849.54 and 4,914.85 is: 6,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.81 : 8,849.54 = 4,914.85 : x
  2. Step 2: Convert to fraction form
    6,409.81/8,849.54 = 4,914.85/x
  3. Step 3: Cross multiply
    6,409.81x = 8,849.54 × 4,914.85
  4. Step 4: Simplify right side
    6,409.81x = 43,494,137.09
  5. Step 5: Solve for x
    x = 43,494,137.09/6,409.81
  6. Step 6: Final answer
    x = 6,785.56

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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.