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Finding the Fourth Proportional to 2,276.94, 3,415.41 and 816.51

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Solution

The fourth proportional to 2,276.94, 3,415.41 and 816.51 is: 1,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.94 : 3,415.41 = 816.51 : x
  2. Step 2: Convert to fraction form
    2,276.94/3,415.41 = 816.51/x
  3. Step 3: Cross multiply
    2,276.94x = 3,415.41 × 816.51
  4. Step 4: Simplify right side
    2,276.94x = 2,788,716.42
  5. Step 5: Solve for x
    x = 2,788,716.42/2,276.94
  6. Step 6: Final answer
    x = 1,224.77

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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.