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Finding the Fourth Proportional to 1,920.53, 2,648.79 and 1,290.84

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Solution

The fourth proportional to 1,920.53, 2,648.79 and 1,290.84 is: 1,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.53 : 2,648.79 = 1,290.84 : x
  2. Step 2: Convert to fraction form
    1,920.53/2,648.79 = 1,290.84/x
  3. Step 3: Cross multiply
    1,920.53x = 2,648.79 × 1,290.84
  4. Step 4: Simplify right side
    1,920.53x = 3,419,164.08
  5. Step 5: Solve for x
    x = 3,419,164.08/1,920.53
  6. Step 6: Final answer
    x = 1,780.33

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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.