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Finding the Fourth Proportional to 8,205, 11,322.90 and 4,479

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Solution

The fourth proportional to 8,205, 11,322.90 and 4,479 is: 6,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205 : 11,322.90 = 4,479 : x
  2. Step 2: Convert to fraction form
    8,205/11,322.90 = 4,479/x
  3. Step 3: Cross multiply
    8,205x = 11,322.90 × 4,479
  4. Step 4: Simplify right side
    8,205x = 50,715,269.10
  5. Step 5: Solve for x
    x = 50,715,269.10/8,205
  6. Step 6: Final answer
    x = 6,181.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.