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Finding the Fourth Proportional to 6,404.58, 9,603.80 and 3,286.08

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Solution

The fourth proportional to 6,404.58, 9,603.80 and 3,286.08 is: 4,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.58 : 9,603.80 = 3,286.08 : x
  2. Step 2: Convert to fraction form
    6,404.58/9,603.80 = 3,286.08/x
  3. Step 3: Cross multiply
    6,404.58x = 9,603.80 × 3,286.08
  4. Step 4: Simplify right side
    6,404.58x = 31,558,855.10
  5. Step 5: Solve for x
    x = 31,558,855.10/6,404.58
  6. Step 6: Final answer
    x = 4,927.54

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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.