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Finding the Fourth Proportional to 3,676.64, 5,515.50 and 1,079.24

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Solution

The fourth proportional to 3,676.64, 5,515.50 and 1,079.24 is: 1,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.64 : 5,515.50 = 1,079.24 : x
  2. Step 2: Convert to fraction form
    3,676.64/5,515.50 = 1,079.24/x
  3. Step 3: Cross multiply
    3,676.64x = 5,515.50 × 1,079.24
  4. Step 4: Simplify right side
    3,676.64x = 5,952,548.22
  5. Step 5: Solve for x
    x = 5,952,548.22/3,676.64
  6. Step 6: Final answer
    x = 1,619.02

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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.