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Finding the Fourth Proportional to 3,072.66, 4,241.04 and 1,747.20

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Solution

The fourth proportional to 3,072.66, 4,241.04 and 1,747.20 is: 2,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.66 : 4,241.04 = 1,747.20 : x
  2. Step 2: Convert to fraction form
    3,072.66/4,241.04 = 1,747.20/x
  3. Step 3: Cross multiply
    3,072.66x = 4,241.04 × 1,747.20
  4. Step 4: Simplify right side
    3,072.66x = 7,409,945.09
  5. Step 5: Solve for x
    x = 7,409,945.09/3,072.66
  6. Step 6: Final answer
    x = 2,411.57

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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.