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Finding the Fourth Proportional to 1,991.90, 2,973.25 and 1,758.40

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Solution

The fourth proportional to 1,991.90, 2,973.25 and 1,758.40 is: 2,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.90 : 2,973.25 = 1,758.40 : x
  2. Step 2: Convert to fraction form
    1,991.90/2,973.25 = 1,758.40/x
  3. Step 3: Cross multiply
    1,991.90x = 2,973.25 × 1,758.40
  4. Step 4: Simplify right side
    1,991.90x = 5,228,162.80
  5. Step 5: Solve for x
    x = 5,228,162.80/1,991.90
  6. Step 6: Final answer
    x = 2,624.71

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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.