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Finding the Fourth Proportional to 2,907.84, 4,013.98 and 1,789.22

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Solution

The fourth proportional to 2,907.84, 4,013.98 and 1,789.22 is: 2,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.84 : 4,013.98 = 1,789.22 : x
  2. Step 2: Convert to fraction form
    2,907.84/4,013.98 = 1,789.22/x
  3. Step 3: Cross multiply
    2,907.84x = 4,013.98 × 1,789.22
  4. Step 4: Simplify right side
    2,907.84x = 7,181,893.30
  5. Step 5: Solve for x
    x = 7,181,893.30/2,907.84
  6. Step 6: Final answer
    x = 2,469.84

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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.