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Finding the Fourth Proportional to 3,047.85, 4,205.99 and 1,721.98

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Solution

The fourth proportional to 3,047.85, 4,205.99 and 1,721.98 is: 2,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.85 : 4,205.99 = 1,721.98 : x
  2. Step 2: Convert to fraction form
    3,047.85/4,205.99 = 1,721.98/x
  3. Step 3: Cross multiply
    3,047.85x = 4,205.99 × 1,721.98
  4. Step 4: Simplify right side
    3,047.85x = 7,242,630.66
  5. Step 5: Solve for x
    x = 7,242,630.66/3,047.85
  6. Step 6: Final answer
    x = 2,376.31

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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.