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Finding the Fourth Proportional to 1,995.54, 2,754.74 and 1,428.82

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Solution

The fourth proportional to 1,995.54, 2,754.74 and 1,428.82 is: 1,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.54 : 2,754.74 = 1,428.82 : x
  2. Step 2: Convert to fraction form
    1,995.54/2,754.74 = 1,428.82/x
  3. Step 3: Cross multiply
    1,995.54x = 2,754.74 × 1,428.82
  4. Step 4: Simplify right side
    1,995.54x = 3,936,027.61
  5. Step 5: Solve for x
    x = 3,936,027.61/1,995.54
  6. Step 6: Final answer
    x = 1,972.41

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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.