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Finding the Fourth Proportional to 1,949.91, 2,935.47 and 1,749

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Solution

The fourth proportional to 1,949.91, 2,935.47 and 1,749 is: 2,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.91 : 2,935.47 = 1,749 : x
  2. Step 2: Convert to fraction form
    1,949.91/2,935.47 = 1,749/x
  3. Step 3: Cross multiply
    1,949.91x = 2,935.47 × 1,749
  4. Step 4: Simplify right side
    1,949.91x = 5,134,137.03
  5. Step 5: Solve for x
    x = 5,134,137.03/1,949.91
  6. Step 6: Final answer
    x = 2,633.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.