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Finding the Fourth Proportional to 3,047.56, 4,205.73 and 1,869.82

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Solution

The fourth proportional to 3,047.56, 4,205.73 and 1,869.82 is: 2,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.56 : 4,205.73 = 1,869.82 : x
  2. Step 2: Convert to fraction form
    3,047.56/4,205.73 = 1,869.82/x
  3. Step 3: Cross multiply
    3,047.56x = 4,205.73 × 1,869.82
  4. Step 4: Simplify right side
    3,047.56x = 7,863,958.07
  5. Step 5: Solve for x
    x = 7,863,958.07/3,047.56
  6. Step 6: Final answer
    x = 2,580.41

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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.