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Finding the Fourth Proportional to 1,972.57, 2,722.73 and 1,266.32

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Solution

The fourth proportional to 1,972.57, 2,722.73 and 1,266.32 is: 1,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.57 : 2,722.73 = 1,266.32 : x
  2. Step 2: Convert to fraction form
    1,972.57/2,722.73 = 1,266.32/x
  3. Step 3: Cross multiply
    1,972.57x = 2,722.73 × 1,266.32
  4. Step 4: Simplify right side
    1,972.57x = 3,447,858.50
  5. Step 5: Solve for x
    x = 3,447,858.50/1,972.57
  6. Step 6: Final answer
    x = 1,747.90

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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.