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Finding the Fourth Proportional to 5,511.92, 8,269.08 and 1,814

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Solution

The fourth proportional to 5,511.92, 8,269.08 and 1,814 is: 2,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.92 : 8,269.08 = 1,814 : x
  2. Step 2: Convert to fraction form
    5,511.92/8,269.08 = 1,814/x
  3. Step 3: Cross multiply
    5,511.92x = 8,269.08 × 1,814
  4. Step 4: Simplify right side
    5,511.92x = 15,000,111.12
  5. Step 5: Solve for x
    x = 15,000,111.12/5,511.92
  6. Step 6: Final answer
    x = 2,721.39

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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.