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Finding the Fourth Proportional to 2,107, 2,907.66 and 1,408.60

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Solution

The fourth proportional to 2,107, 2,907.66 and 1,408.60 is: 1,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107 : 2,907.66 = 1,408.60 : x
  2. Step 2: Convert to fraction form
    2,107/2,907.66 = 1,408.60/x
  3. Step 3: Cross multiply
    2,107x = 2,907.66 × 1,408.60
  4. Step 4: Simplify right side
    2,107x = 4,095,729.88
  5. Step 5: Solve for x
    x = 4,095,729.88/2,107
  6. Step 6: Final answer
    x = 1,943.87

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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.