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Finding the Fourth Proportional to 1,991.34, 2,748.90 and 1,205.28

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Solution

The fourth proportional to 1,991.34, 2,748.90 and 1,205.28 is: 1,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.34 : 2,748.90 = 1,205.28 : x
  2. Step 2: Convert to fraction form
    1,991.34/2,748.90 = 1,205.28/x
  3. Step 3: Cross multiply
    1,991.34x = 2,748.90 × 1,205.28
  4. Step 4: Simplify right side
    1,991.34x = 3,313,194.19
  5. Step 5: Solve for x
    x = 3,313,194.19/1,991.34
  6. Step 6: Final answer
    x = 1,663.80

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1.5x scale

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.