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Finding the Fourth Proportional to 3,318.12, 4,971.54 and 1,650.03

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Solution

The fourth proportional to 3,318.12, 4,971.54 and 1,650.03 is: 2,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.12 : 4,971.54 = 1,650.03 : x
  2. Step 2: Convert to fraction form
    3,318.12/4,971.54 = 1,650.03/x
  3. Step 3: Cross multiply
    3,318.12x = 4,971.54 × 1,650.03
  4. Step 4: Simplify right side
    3,318.12x = 8,203,190.15
  5. Step 5: Solve for x
    x = 8,203,190.15/3,318.12
  6. Step 6: Final answer
    x = 2,472.24

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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.