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Finding the Fourth Proportional to 3,255, 4,880.97 and 1,404.96

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Solution

The fourth proportional to 3,255, 4,880.97 and 1,404.96 is: 2,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255 : 4,880.97 = 1,404.96 : x
  2. Step 2: Convert to fraction form
    3,255/4,880.97 = 1,404.96/x
  3. Step 3: Cross multiply
    3,255x = 4,880.97 × 1,404.96
  4. Step 4: Simplify right side
    3,255x = 6,857,567.61
  5. Step 5: Solve for x
    x = 6,857,567.61/3,255
  6. Step 6: Final answer
    x = 2,106.78

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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.