Home / 1,946-2,911.70-1,212.14

Finding the Fourth Proportional to 1,946, 2,911.70 and 1,212.14

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Solution

The fourth proportional to 1,946, 2,911.70 and 1,212.14 is: 1,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946 : 2,911.70 = 1,212.14 : x
  2. Step 2: Convert to fraction form
    1,946/2,911.70 = 1,212.14/x
  3. Step 3: Cross multiply
    1,946x = 2,911.70 × 1,212.14
  4. Step 4: Simplify right side
    1,946x = 3,529,388.04
  5. Step 5: Solve for x
    x = 3,529,388.04/1,946
  6. Step 6: Final answer
    x = 1,813.66

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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.