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Finding the Fourth Proportional to 2,758.62, 3,804.04 and 1,920.28

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Solution

The fourth proportional to 2,758.62, 3,804.04 and 1,920.28 is: 2,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.62 : 3,804.04 = 1,920.28 : x
  2. Step 2: Convert to fraction form
    2,758.62/3,804.04 = 1,920.28/x
  3. Step 3: Cross multiply
    2,758.62x = 3,804.04 × 1,920.28
  4. Step 4: Simplify right side
    2,758.62x = 7,304,821.93
  5. Step 5: Solve for x
    x = 7,304,821.93/2,758.62
  6. Step 6: Final answer
    x = 2,648.00

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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.