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Finding the Fourth Proportional to 1,991.79, 2,748.47 and 1,107.54

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Solution

The fourth proportional to 1,991.79, 2,748.47 and 1,107.54 is: 1,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.79 : 2,748.47 = 1,107.54 : x
  2. Step 2: Convert to fraction form
    1,991.79/2,748.47 = 1,107.54/x
  3. Step 3: Cross multiply
    1,991.79x = 2,748.47 × 1,107.54
  4. Step 4: Simplify right side
    1,991.79x = 3,044,034.93
  5. Step 5: Solve for x
    x = 3,044,034.93/1,991.79
  6. Step 6: Final answer
    x = 1,528.29

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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.