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Finding the Fourth Proportional to 2,758.98, 4,138.88 and 810.93

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Solution

The fourth proportional to 2,758.98, 4,138.88 and 810.93 is: 1,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.98 : 4,138.88 = 810.93 : x
  2. Step 2: Convert to fraction form
    2,758.98/4,138.88 = 810.93/x
  3. Step 3: Cross multiply
    2,758.98x = 4,138.88 × 810.93
  4. Step 4: Simplify right side
    2,758.98x = 3,356,337.90
  5. Step 5: Solve for x
    x = 3,356,337.90/2,758.98
  6. Step 6: Final answer
    x = 1,216.51

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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.