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Finding the Fourth Proportional to 1,937.51, 2,905.83 and 949.93

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Solution

The fourth proportional to 1,937.51, 2,905.83 and 949.93 is: 1,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.51 : 2,905.83 = 949.93 : x
  2. Step 2: Convert to fraction form
    1,937.51/2,905.83 = 949.93/x
  3. Step 3: Cross multiply
    1,937.51x = 2,905.83 × 949.93
  4. Step 4: Simplify right side
    1,937.51x = 2,760,335.09
  5. Step 5: Solve for x
    x = 2,760,335.09/1,937.51
  6. Step 6: Final answer
    x = 1,424.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.