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Finding the Fourth Proportional to 3,676.80, 5,507.10 and 2,575.20

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Solution

The fourth proportional to 3,676.80, 5,507.10 and 2,575.20 is: 3,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.80 : 5,507.10 = 2,575.20 : x
  2. Step 2: Convert to fraction form
    3,676.80/5,507.10 = 2,575.20/x
  3. Step 3: Cross multiply
    3,676.80x = 5,507.10 × 2,575.20
  4. Step 4: Simplify right side
    3,676.80x = 14,181,883.92
  5. Step 5: Solve for x
    x = 14,181,883.92/3,676.80
  6. Step 6: Final answer
    x = 3,857.13

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1.5x scale

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.