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Finding the Fourth Proportional to 1,991.63, 2,972.79 and 1,733.45

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Solution

The fourth proportional to 1,991.63, 2,972.79 and 1,733.45 is: 2,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.63 : 2,972.79 = 1,733.45 : x
  2. Step 2: Convert to fraction form
    1,991.63/2,972.79 = 1,733.45/x
  3. Step 3: Cross multiply
    1,991.63x = 2,972.79 × 1,733.45
  4. Step 4: Simplify right side
    1,991.63x = 5,153,174.16
  5. Step 5: Solve for x
    x = 5,153,174.16/1,991.63
  6. Step 6: Final answer
    x = 2,587.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.