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Finding the Fourth Proportional to 6,406.96, 9,609.64 and 1,727.34

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Solution

The fourth proportional to 6,406.96, 9,609.64 and 1,727.34 is: 2,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.96 : 9,609.64 = 1,727.34 : x
  2. Step 2: Convert to fraction form
    6,406.96/9,609.64 = 1,727.34/x
  3. Step 3: Cross multiply
    6,406.96x = 9,609.64 × 1,727.34
  4. Step 4: Simplify right side
    6,406.96x = 16,599,115.56
  5. Step 5: Solve for x
    x = 16,599,115.56/6,406.96
  6. Step 6: Final answer
    x = 2,590.79

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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.