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Finding the Fourth Proportional to 1,972.98, 2,724.09 and 1,227.24

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Solution

The fourth proportional to 1,972.98, 2,724.09 and 1,227.24 is: 1,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.98 : 2,724.09 = 1,227.24 : x
  2. Step 2: Convert to fraction form
    1,972.98/2,724.09 = 1,227.24/x
  3. Step 3: Cross multiply
    1,972.98x = 2,724.09 × 1,227.24
  4. Step 4: Simplify right side
    1,972.98x = 3,343,112.21
  5. Step 5: Solve for x
    x = 3,343,112.21/1,972.98
  6. Step 6: Final answer
    x = 1,694.45

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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.