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Finding the Fourth Proportional to 1,949, 2,691.80 and 1,512.20

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Solution

The fourth proportional to 1,949, 2,691.80 and 1,512.20 is: 2,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949 : 2,691.80 = 1,512.20 : x
  2. Step 2: Convert to fraction form
    1,949/2,691.80 = 1,512.20/x
  3. Step 3: Cross multiply
    1,949x = 2,691.80 × 1,512.20
  4. Step 4: Simplify right side
    1,949x = 4,070,539.96
  5. Step 5: Solve for x
    x = 4,070,539.96/1,949
  6. Step 6: Final answer
    x = 2,088.53

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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.