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Finding the Fourth Proportional to 3,619.76, 4,994.80 and 2,047.80

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Solution

The fourth proportional to 3,619.76, 4,994.80 and 2,047.80 is: 2,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.76 : 4,994.80 = 2,047.80 : x
  2. Step 2: Convert to fraction form
    3,619.76/4,994.80 = 2,047.80/x
  3. Step 3: Cross multiply
    3,619.76x = 4,994.80 × 2,047.80
  4. Step 4: Simplify right side
    3,619.76x = 10,228,351.44
  5. Step 5: Solve for x
    x = 10,228,351.44/3,619.76
  6. Step 6: Final answer
    x = 2,825.70

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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.