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Finding the Fourth Proportional to 2,868.09, 3,958.05 and 1,609.13

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Solution

The fourth proportional to 2,868.09, 3,958.05 and 1,609.13 is: 2,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.09 : 3,958.05 = 1,609.13 : x
  2. Step 2: Convert to fraction form
    2,868.09/3,958.05 = 1,609.13/x
  3. Step 3: Cross multiply
    2,868.09x = 3,958.05 × 1,609.13
  4. Step 4: Simplify right side
    2,868.09x = 6,368,997.21
  5. Step 5: Solve for x
    x = 6,368,997.21/2,868.09
  6. Step 6: Final answer
    x = 2,220.64

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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.