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Finding the Fourth Proportional to 1,952.78, 2,694.53 and 1,206.99

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Solution

The fourth proportional to 1,952.78, 2,694.53 and 1,206.99 is: 1,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.78 : 2,694.53 = 1,206.99 : x
  2. Step 2: Convert to fraction form
    1,952.78/2,694.53 = 1,206.99/x
  3. Step 3: Cross multiply
    1,952.78x = 2,694.53 × 1,206.99
  4. Step 4: Simplify right side
    1,952.78x = 3,252,264.73
  5. Step 5: Solve for x
    x = 3,252,264.73/1,952.78
  6. Step 6: Final answer
    x = 1,665.46

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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.