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Finding the Fourth Proportional to 6,406.42, 9,609.65 and 1,789.42

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Solution

The fourth proportional to 6,406.42, 9,609.65 and 1,789.42 is: 2,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.42 : 9,609.65 = 1,789.42 : x
  2. Step 2: Convert to fraction form
    6,406.42/9,609.65 = 1,789.42/x
  3. Step 3: Cross multiply
    6,406.42x = 9,609.65 × 1,789.42
  4. Step 4: Simplify right side
    6,406.42x = 17,195,723.93
  5. Step 5: Solve for x
    x = 17,195,723.93/6,406.42
  6. Step 6: Final answer
    x = 2,684.14

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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.