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Finding the Fourth Proportional to 4,406.01, 6,609.09 and 1,286.03

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Solution

The fourth proportional to 4,406.01, 6,609.09 and 1,286.03 is: 1,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.01 : 6,609.09 = 1,286.03 : x
  2. Step 2: Convert to fraction form
    4,406.01/6,609.09 = 1,286.03/x
  3. Step 3: Cross multiply
    4,406.01x = 6,609.09 × 1,286.03
  4. Step 4: Simplify right side
    4,406.01x = 8,499,454.97
  5. Step 5: Solve for x
    x = 8,499,454.97/4,406.01
  6. Step 6: Final answer
    x = 1,929.06

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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.