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Finding the Fourth Proportional to 10,102.50, 15,153.90 and 3,177

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Solution

The fourth proportional to 10,102.50, 15,153.90 and 3,177 is: 4,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.50 : 15,153.90 = 3,177 : x
  2. Step 2: Convert to fraction form
    10,102.50/15,153.90 = 3,177/x
  3. Step 3: Cross multiply
    10,102.50x = 15,153.90 × 3,177
  4. Step 4: Simplify right side
    10,102.50x = 48,143,940.30
  5. Step 5: Solve for x
    x = 48,143,940.30/10,102.50
  6. Step 6: Final answer
    x = 4,765.55

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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.