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Finding the Fourth Proportional to 2,122, 2,930.52 and 2,107.60

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Solution

The fourth proportional to 2,122, 2,930.52 and 2,107.60 is: 2,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122 : 2,930.52 = 2,107.60 : x
  2. Step 2: Convert to fraction form
    2,122/2,930.52 = 2,107.60/x
  3. Step 3: Cross multiply
    2,122x = 2,930.52 × 2,107.60
  4. Step 4: Simplify right side
    2,122x = 6,176,363.95
  5. Step 5: Solve for x
    x = 6,176,363.95/2,122
  6. Step 6: Final answer
    x = 2,910.63

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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.