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Finding the Fourth Proportional to 3,046.48, 4,203.84 and 1,720

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Solution

The fourth proportional to 3,046.48, 4,203.84 and 1,720 is: 2,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.48 : 4,203.84 = 1,720 : x
  2. Step 2: Convert to fraction form
    3,046.48/4,203.84 = 1,720/x
  3. Step 3: Cross multiply
    3,046.48x = 4,203.84 × 1,720
  4. Step 4: Simplify right side
    3,046.48x = 7,230,604.80
  5. Step 5: Solve for x
    x = 7,230,604.80/3,046.48
  6. Step 6: Final answer
    x = 2,373.43

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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.