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Finding the Fourth Proportional to 2,616.63, 3,924.94 and 1,077.63

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Solution

The fourth proportional to 2,616.63, 3,924.94 and 1,077.63 is: 1,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.63 : 3,924.94 = 1,077.63 : x
  2. Step 2: Convert to fraction form
    2,616.63/3,924.94 = 1,077.63/x
  3. Step 3: Cross multiply
    2,616.63x = 3,924.94 × 1,077.63
  4. Step 4: Simplify right side
    2,616.63x = 4,229,633.09
  5. Step 5: Solve for x
    x = 4,229,633.09/2,616.63
  6. Step 6: Final answer
    x = 1,616.44

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1.5x scale

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.