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Finding the Fourth Proportional to 5,676.80, 8,511.68 and 2,210

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Solution

The fourth proportional to 5,676.80, 8,511.68 and 2,210 is: 3,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.80 : 8,511.68 = 2,210 : x
  2. Step 2: Convert to fraction form
    5,676.80/8,511.68 = 2,210/x
  3. Step 3: Cross multiply
    5,676.80x = 8,511.68 × 2,210
  4. Step 4: Simplify right side
    5,676.80x = 18,810,812.80
  5. Step 5: Solve for x
    x = 18,810,812.80/5,676.80
  6. Step 6: Final answer
    x = 3,313.63

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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.