Home / 3,827.09-5,741.31-1,977.69

Finding the Fourth Proportional to 3,827.09, 5,741.31 and 1,977.69

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Solution

The fourth proportional to 3,827.09, 5,741.31 and 1,977.69 is: 2,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.09 : 5,741.31 = 1,977.69 : x
  2. Step 2: Convert to fraction form
    3,827.09/5,741.31 = 1,977.69/x
  3. Step 3: Cross multiply
    3,827.09x = 5,741.31 × 1,977.69
  4. Step 4: Simplify right side
    3,827.09x = 11,354,531.37
  5. Step 5: Solve for x
    x = 11,354,531.37/3,827.09
  6. Step 6: Final answer
    x = 2,966.88

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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.