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Finding the Fourth Proportional to 1,991.70, 2,748.87 and 1,206.14

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Solution

The fourth proportional to 1,991.70, 2,748.87 and 1,206.14 is: 1,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.70 : 2,748.87 = 1,206.14 : x
  2. Step 2: Convert to fraction form
    1,991.70/2,748.87 = 1,206.14/x
  3. Step 3: Cross multiply
    1,991.70x = 2,748.87 × 1,206.14
  4. Step 4: Simplify right side
    1,991.70x = 3,315,508.32
  5. Step 5: Solve for x
    x = 3,315,508.32/1,991.70
  6. Step 6: Final answer
    x = 1,664.66

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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.