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Finding the Fourth Proportional to 1,991.80, 2,749.43 and 1,710.91

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Solution

The fourth proportional to 1,991.80, 2,749.43 and 1,710.91 is: 2,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.80 : 2,749.43 = 1,710.91 : x
  2. Step 2: Convert to fraction form
    1,991.80/2,749.43 = 1,710.91/x
  3. Step 3: Cross multiply
    1,991.80x = 2,749.43 × 1,710.91
  4. Step 4: Simplify right side
    1,991.80x = 4,704,027.28
  5. Step 5: Solve for x
    x = 4,704,027.28/1,991.80
  6. Step 6: Final answer
    x = 2,361.70

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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.