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Finding the Fourth Proportional to 1,991.90, 2,749.14 and 1,434.22

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Solution

The fourth proportional to 1,991.90, 2,749.14 and 1,434.22 is: 1,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.90 : 2,749.14 = 1,434.22 : x
  2. Step 2: Convert to fraction form
    1,991.90/2,749.14 = 1,434.22/x
  3. Step 3: Cross multiply
    1,991.90x = 2,749.14 × 1,434.22
  4. Step 4: Simplify right side
    1,991.90x = 3,942,871.57
  5. Step 5: Solve for x
    x = 3,942,871.57/1,991.90
  6. Step 6: Final answer
    x = 1,979.45

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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.