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Finding the Fourth Proportional to 2,406.99, 3,321.09 and 1,412.22

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Solution

The fourth proportional to 2,406.99, 3,321.09 and 1,412.22 is: 1,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.99 : 3,321.09 = 1,412.22 : x
  2. Step 2: Convert to fraction form
    2,406.99/3,321.09 = 1,412.22/x
  3. Step 3: Cross multiply
    2,406.99x = 3,321.09 × 1,412.22
  4. Step 4: Simplify right side
    2,406.99x = 4,690,109.72
  5. Step 5: Solve for x
    x = 4,690,109.72/2,406.99
  6. Step 6: Final answer
    x = 1,948.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.