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Finding the Fourth Proportional to 2,634.93, 3,953.12 and 880.09

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Solution

The fourth proportional to 2,634.93, 3,953.12 and 880.09 is: 1,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.93 : 3,953.12 = 880.09 : x
  2. Step 2: Convert to fraction form
    2,634.93/3,953.12 = 880.09/x
  3. Step 3: Cross multiply
    2,634.93x = 3,953.12 × 880.09
  4. Step 4: Simplify right side
    2,634.93x = 3,479,087.10
  5. Step 5: Solve for x
    x = 3,479,087.10/2,634.93
  6. Step 6: Final answer
    x = 1,320.37

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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.