Home / 3,834.31-5,746.47-2,783.65

Finding the Fourth Proportional to 3,834.31, 5,746.47 and 2,783.65

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Solution

The fourth proportional to 3,834.31, 5,746.47 and 2,783.65 is: 4,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.31 : 5,746.47 = 2,783.65 : x
  2. Step 2: Convert to fraction form
    3,834.31/5,746.47 = 2,783.65/x
  3. Step 3: Cross multiply
    3,834.31x = 5,746.47 × 2,783.65
  4. Step 4: Simplify right side
    3,834.31x = 15,996,161.22
  5. Step 5: Solve for x
    x = 15,996,161.22/3,834.31
  6. Step 6: Final answer
    x = 4,171.85

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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.