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Finding the Fourth Proportional to 3,406.70, 5,110.05 and 3,125.90

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Solution

The fourth proportional to 3,406.70, 5,110.05 and 3,125.90 is: 4,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.70 : 5,110.05 = 3,125.90 : x
  2. Step 2: Convert to fraction form
    3,406.70/5,110.05 = 3,125.90/x
  3. Step 3: Cross multiply
    3,406.70x = 5,110.05 × 3,125.90
  4. Step 4: Simplify right side
    3,406.70x = 15,973,505.30
  5. Step 5: Solve for x
    x = 15,973,505.30/3,406.70
  6. Step 6: Final answer
    x = 4,688.85

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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.