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Finding the Fourth Proportional to 3,047.70, 4,205.82 and 1,721.68

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Solution

The fourth proportional to 3,047.70, 4,205.82 and 1,721.68 is: 2,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.70 : 4,205.82 = 1,721.68 : x
  2. Step 2: Convert to fraction form
    3,047.70/4,205.82 = 1,721.68/x
  3. Step 3: Cross multiply
    3,047.70x = 4,205.82 × 1,721.68
  4. Step 4: Simplify right side
    3,047.70x = 7,241,076.18
  5. Step 5: Solve for x
    x = 7,241,076.18/3,047.70
  6. Step 6: Final answer
    x = 2,375.92

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1.5x scale

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.