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Finding the Fourth Proportional to 5,676.18, 8,511 and 2,209.38

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Solution

The fourth proportional to 5,676.18, 8,511 and 2,209.38 is: 3,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.18 : 8,511 = 2,209.38 : x
  2. Step 2: Convert to fraction form
    5,676.18/8,511 = 2,209.38/x
  3. Step 3: Cross multiply
    5,676.18x = 8,511 × 2,209.38
  4. Step 4: Simplify right side
    5,676.18x = 18,804,033.18
  5. Step 5: Solve for x
    x = 18,804,033.18/5,676.18
  6. Step 6: Final answer
    x = 3,312.80

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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.