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Finding the Fourth Proportional to 2,669.92, 4,004.08 and 1,282.48

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Solution

The fourth proportional to 2,669.92, 4,004.08 and 1,282.48 is: 1,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.92 : 4,004.08 = 1,282.48 : x
  2. Step 2: Convert to fraction form
    2,669.92/4,004.08 = 1,282.48/x
  3. Step 3: Cross multiply
    2,669.92x = 4,004.08 × 1,282.48
  4. Step 4: Simplify right side
    2,669.92x = 5,135,152.52
  5. Step 5: Solve for x
    x = 5,135,152.52/2,669.92
  6. Step 6: Final answer
    x = 1,923.34

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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.