Home / 3,438-4,743.89-1,945.44

Finding the Fourth Proportional to 3,438, 4,743.89 and 1,945.44

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Solution

The fourth proportional to 3,438, 4,743.89 and 1,945.44 is: 2,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438 : 4,743.89 = 1,945.44 : x
  2. Step 2: Convert to fraction form
    3,438/4,743.89 = 1,945.44/x
  3. Step 3: Cross multiply
    3,438x = 4,743.89 × 1,945.44
  4. Step 4: Simplify right side
    3,438x = 9,228,953.36
  5. Step 5: Solve for x
    x = 9,228,953.36/3,438
  6. Step 6: Final answer
    x = 2,684.40

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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.