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Finding the Fourth Proportional to 6,443.65, 9,659.32 and 4,096.40

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Solution

The fourth proportional to 6,443.65, 9,659.32 and 4,096.40 is: 6,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.65 : 9,659.32 = 4,096.40 : x
  2. Step 2: Convert to fraction form
    6,443.65/9,659.32 = 4,096.40/x
  3. Step 3: Cross multiply
    6,443.65x = 9,659.32 × 4,096.40
  4. Step 4: Simplify right side
    6,443.65x = 39,568,379.91
  5. Step 5: Solve for x
    x = 39,568,379.91/6,443.65
  6. Step 6: Final answer
    x = 6,140.68

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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.