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Finding the Fourth Proportional to 2,758.77, 4,137.84 and 811.17

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Solution

The fourth proportional to 2,758.77, 4,137.84 and 811.17 is: 1,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.77 : 4,137.84 = 811.17 : x
  2. Step 2: Convert to fraction form
    2,758.77/4,137.84 = 811.17/x
  3. Step 3: Cross multiply
    2,758.77x = 4,137.84 × 811.17
  4. Step 4: Simplify right side
    2,758.77x = 3,356,491.67
  5. Step 5: Solve for x
    x = 3,356,491.67/2,758.77
  6. Step 6: Final answer
    x = 1,216.66

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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.