Home / 3,827.29-5,736.84-1,977.91

Finding the Fourth Proportional to 3,827.29, 5,736.84 and 1,977.91

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Solution

The fourth proportional to 3,827.29, 5,736.84 and 1,977.91 is: 2,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.29 : 5,736.84 = 1,977.91 : x
  2. Step 2: Convert to fraction form
    3,827.29/5,736.84 = 1,977.91/x
  3. Step 3: Cross multiply
    3,827.29x = 5,736.84 × 1,977.91
  4. Step 4: Simplify right side
    3,827.29x = 11,346,953.20
  5. Step 5: Solve for x
    x = 11,346,953.20/3,827.29
  6. Step 6: Final answer
    x = 2,964.75

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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.