Home / 2,914.65-4,023.36-1,971

Finding the Fourth Proportional to 2,914.65, 4,023.36 and 1,971

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Solution

The fourth proportional to 2,914.65, 4,023.36 and 1,971 is: 2,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.65 : 4,023.36 = 1,971 : x
  2. Step 2: Convert to fraction form
    2,914.65/4,023.36 = 1,971/x
  3. Step 3: Cross multiply
    2,914.65x = 4,023.36 × 1,971
  4. Step 4: Simplify right side
    2,914.65x = 7,930,042.56
  5. Step 5: Solve for x
    x = 7,930,042.56/2,914.65
  6. Step 6: Final answer
    x = 2,720.75

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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.