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Finding the Fourth Proportional to 1,729.80, 2,375.06 and 1,684.70

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Solution

The fourth proportional to 1,729.80, 2,375.06 and 1,684.70 is: 2,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.80 : 2,375.06 = 1,684.70 : x
  2. Step 2: Convert to fraction form
    1,729.80/2,375.06 = 1,684.70/x
  3. Step 3: Cross multiply
    1,729.80x = 2,375.06 × 1,684.70
  4. Step 4: Simplify right side
    1,729.80x = 4,001,243.28
  5. Step 5: Solve for x
    x = 4,001,243.28/1,729.80
  6. Step 6: Final answer
    x = 2,313.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.