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Finding the Fourth Proportional to 3,270, 4,513.41 and 1,873.56

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Solution

The fourth proportional to 3,270, 4,513.41 and 1,873.56 is: 2,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270 : 4,513.41 = 1,873.56 : x
  2. Step 2: Convert to fraction form
    3,270/4,513.41 = 1,873.56/x
  3. Step 3: Cross multiply
    3,270x = 4,513.41 × 1,873.56
  4. Step 4: Simplify right side
    3,270x = 8,456,144.44
  5. Step 5: Solve for x
    x = 8,456,144.44/3,270
  6. Step 6: Final answer
    x = 2,585.98

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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.