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Finding the Fourth Proportional to 3,619.76, 4,995.14 and 2,047.82

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Solution

The fourth proportional to 3,619.76, 4,995.14 and 2,047.82 is: 2,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.76 : 4,995.14 = 2,047.82 : x
  2. Step 2: Convert to fraction form
    3,619.76/4,995.14 = 2,047.82/x
  3. Step 3: Cross multiply
    3,619.76x = 4,995.14 × 2,047.82
  4. Step 4: Simplify right side
    3,619.76x = 10,229,112.38
  5. Step 5: Solve for x
    x = 10,229,112.38/3,619.76
  6. Step 6: Final answer
    x = 2,825.91

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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.