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Finding the Fourth Proportional to 4,885.76, 7,321.08 and 3,728

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Solution

The fourth proportional to 4,885.76, 7,321.08 and 3,728 is: 5,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.76 : 7,321.08 = 3,728 : x
  2. Step 2: Convert to fraction form
    4,885.76/7,321.08 = 3,728/x
  3. Step 3: Cross multiply
    4,885.76x = 7,321.08 × 3,728
  4. Step 4: Simplify right side
    4,885.76x = 27,292,986.24
  5. Step 5: Solve for x
    x = 27,292,986.24/4,885.76
  6. Step 6: Final answer
    x = 5,586.23

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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.