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Finding the Fourth Proportional to 3,678.91, 5,076.94 and 2,107

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Solution

The fourth proportional to 3,678.91, 5,076.94 and 2,107 is: 2,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.91 : 5,076.94 = 2,107 : x
  2. Step 2: Convert to fraction form
    3,678.91/5,076.94 = 2,107/x
  3. Step 3: Cross multiply
    3,678.91x = 5,076.94 × 2,107
  4. Step 4: Simplify right side
    3,678.91x = 10,697,112.58
  5. Step 5: Solve for x
    x = 10,697,112.58/3,678.91
  6. Step 6: Final answer
    x = 2,907.69

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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.