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Finding the Fourth Proportional to 2,759.49, 4,138.66 and 910.18

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Solution

The fourth proportional to 2,759.49, 4,138.66 and 910.18 is: 1,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.49 : 4,138.66 = 910.18 : x
  2. Step 2: Convert to fraction form
    2,759.49/4,138.66 = 910.18/x
  3. Step 3: Cross multiply
    2,759.49x = 4,138.66 × 910.18
  4. Step 4: Simplify right side
    2,759.49x = 3,766,920.23
  5. Step 5: Solve for x
    x = 3,766,920.23/2,759.49
  6. Step 6: Final answer
    x = 1,365.08

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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.