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Finding the Fourth Proportional to 3,676.80, 5,078.04 and 2,495.80

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Solution

The fourth proportional to 3,676.80, 5,078.04 and 2,495.80 is: 3,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.80 : 5,078.04 = 2,495.80 : x
  2. Step 2: Convert to fraction form
    3,676.80/5,078.04 = 2,495.80/x
  3. Step 3: Cross multiply
    3,676.80x = 5,078.04 × 2,495.80
  4. Step 4: Simplify right side
    3,676.80x = 12,673,772.23
  5. Step 5: Solve for x
    x = 12,673,772.23/3,676.80
  6. Step 6: Final answer
    x = 3,446.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.