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Finding the Fourth Proportional to 3,174.76, 4,760.46 and 1,225

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Solution

The fourth proportional to 3,174.76, 4,760.46 and 1,225 is: 1,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.76 : 4,760.46 = 1,225 : x
  2. Step 2: Convert to fraction form
    3,174.76/4,760.46 = 1,225/x
  3. Step 3: Cross multiply
    3,174.76x = 4,760.46 × 1,225
  4. Step 4: Simplify right side
    3,174.76x = 5,831,563.50
  5. Step 5: Solve for x
    x = 5,831,563.50/3,174.76
  6. Step 6: Final answer
    x = 1,836.85

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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.