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Finding the Fourth Proportional to 6,417.02, 8,855.70 and 3,728

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Solution

The fourth proportional to 6,417.02, 8,855.70 and 3,728 is: 5,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.02 : 8,855.70 = 3,728 : x
  2. Step 2: Convert to fraction form
    6,417.02/8,855.70 = 3,728/x
  3. Step 3: Cross multiply
    6,417.02x = 8,855.70 × 3,728
  4. Step 4: Simplify right side
    6,417.02x = 33,014,049.60
  5. Step 5: Solve for x
    x = 33,014,049.60/6,417.02
  6. Step 6: Final answer
    x = 5,144.76

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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.