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Finding the Fourth Proportional to 1,948.94, 2,692.47 and 1,278.33

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Solution

The fourth proportional to 1,948.94, 2,692.47 and 1,278.33 is: 1,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.94 : 2,692.47 = 1,278.33 : x
  2. Step 2: Convert to fraction form
    1,948.94/2,692.47 = 1,278.33/x
  3. Step 3: Cross multiply
    1,948.94x = 2,692.47 × 1,278.33
  4. Step 4: Simplify right side
    1,948.94x = 3,441,865.18
  5. Step 5: Solve for x
    x = 3,441,865.18/1,948.94
  6. Step 6: Final answer
    x = 1,766.02

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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.