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Finding the Fourth Proportional to 2,845.38, 4,270 and 996.51

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Solution

The fourth proportional to 2,845.38, 4,270 and 996.51 is: 1,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.38 : 4,270 = 996.51 : x
  2. Step 2: Convert to fraction form
    2,845.38/4,270 = 996.51/x
  3. Step 3: Cross multiply
    2,845.38x = 4,270 × 996.51
  4. Step 4: Simplify right side
    2,845.38x = 4,255,097.70
  5. Step 5: Solve for x
    x = 4,255,097.70/2,845.38
  6. Step 6: Final answer
    x = 1,495.44

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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.