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Finding the Fourth Proportional to 2,758.61, 4,138.56 and 810.97

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Solution

The fourth proportional to 2,758.61, 4,138.56 and 810.97 is: 1,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.61 : 4,138.56 = 810.97 : x
  2. Step 2: Convert to fraction form
    2,758.61/4,138.56 = 810.97/x
  3. Step 3: Cross multiply
    2,758.61x = 4,138.56 × 810.97
  4. Step 4: Simplify right side
    2,758.61x = 3,356,237.66
  5. Step 5: Solve for x
    x = 3,356,237.66/2,758.61
  6. Step 6: Final answer
    x = 1,216.64

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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.