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Finding the Fourth Proportional to 3,287.37, 4,536 and 1,960.59

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Solution

The fourth proportional to 3,287.37, 4,536 and 1,960.59 is: 2,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.37 : 4,536 = 1,960.59 : x
  2. Step 2: Convert to fraction form
    3,287.37/4,536 = 1,960.59/x
  3. Step 3: Cross multiply
    3,287.37x = 4,536 × 1,960.59
  4. Step 4: Simplify right side
    3,287.37x = 8,893,236.24
  5. Step 5: Solve for x
    x = 8,893,236.24/3,287.37
  6. Step 6: Final answer
    x = 2,705.27

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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.