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Finding the Fourth Proportional to 2,273, 3,128.62 and 1,608.70

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Solution

The fourth proportional to 2,273, 3,128.62 and 1,608.70 is: 2,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273 : 3,128.62 = 1,608.70 : x
  2. Step 2: Convert to fraction form
    2,273/3,128.62 = 1,608.70/x
  3. Step 3: Cross multiply
    2,273x = 3,128.62 × 1,608.70
  4. Step 4: Simplify right side
    2,273x = 5,033,010.99
  5. Step 5: Solve for x
    x = 5,033,010.99/2,273
  6. Step 6: Final answer
    x = 2,214.26

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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.