Home / 2,971.14-4,099.68-1,909.14

Finding the Fourth Proportional to 2,971.14, 4,099.68 and 1,909.14

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Solution

The fourth proportional to 2,971.14, 4,099.68 and 1,909.14 is: 2,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.14 : 4,099.68 = 1,909.14 : x
  2. Step 2: Convert to fraction form
    2,971.14/4,099.68 = 1,909.14/x
  3. Step 3: Cross multiply
    2,971.14x = 4,099.68 × 1,909.14
  4. Step 4: Simplify right side
    2,971.14x = 7,826,863.08
  5. Step 5: Solve for x
    x = 7,826,863.08/2,971.14
  6. Step 6: Final answer
    x = 2,634.30

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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.