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Finding the Fourth Proportional to 1,959.60, 2,936.56 and 1,227.12

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Solution

The fourth proportional to 1,959.60, 2,936.56 and 1,227.12 is: 1,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.60 : 2,936.56 = 1,227.12 : x
  2. Step 2: Convert to fraction form
    1,959.60/2,936.56 = 1,227.12/x
  3. Step 3: Cross multiply
    1,959.60x = 2,936.56 × 1,227.12
  4. Step 4: Simplify right side
    1,959.60x = 3,603,511.51
  5. Step 5: Solve for x
    x = 3,603,511.51/1,959.60
  6. Step 6: Final answer
    x = 1,838.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.