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Finding the Fourth Proportional to 6,409.87, 9,608.25 and 4,071.58

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Solution

The fourth proportional to 6,409.87, 9,608.25 and 4,071.58 is: 6,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.87 : 9,608.25 = 4,071.58 : x
  2. Step 2: Convert to fraction form
    6,409.87/9,608.25 = 4,071.58/x
  3. Step 3: Cross multiply
    6,409.87x = 9,608.25 × 4,071.58
  4. Step 4: Simplify right side
    6,409.87x = 39,120,758.54
  5. Step 5: Solve for x
    x = 39,120,758.54/6,409.87
  6. Step 6: Final answer
    x = 6,103.21

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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.