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Finding the Fourth Proportional to 2,650.07, 3,975.01 and 1,089.64

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Solution

The fourth proportional to 2,650.07, 3,975.01 and 1,089.64 is: 1,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.07 : 3,975.01 = 1,089.64 : x
  2. Step 2: Convert to fraction form
    2,650.07/3,975.01 = 1,089.64/x
  3. Step 3: Cross multiply
    2,650.07x = 3,975.01 × 1,089.64
  4. Step 4: Simplify right side
    2,650.07x = 4,331,332.14
  5. Step 5: Solve for x
    x = 4,331,332.14/2,650.07
  6. Step 6: Final answer
    x = 1,634.42

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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.