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Finding the Fourth Proportional to 2,838, 4,253.97 and 1,373.94

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Solution

The fourth proportional to 2,838, 4,253.97 and 1,373.94 is: 2,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838 : 4,253.97 = 1,373.94 : x
  2. Step 2: Convert to fraction form
    2,838/4,253.97 = 1,373.94/x
  3. Step 3: Cross multiply
    2,838x = 4,253.97 × 1,373.94
  4. Step 4: Simplify right side
    2,838x = 5,844,699.54
  5. Step 5: Solve for x
    x = 5,844,699.54/2,838
  6. Step 6: Final answer
    x = 2,059.44

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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.