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Finding the Fourth Proportional to 3,212.80, 4,816.32 and 1,672

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Solution

The fourth proportional to 3,212.80, 4,816.32 and 1,672 is: 2,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.80 : 4,816.32 = 1,672 : x
  2. Step 2: Convert to fraction form
    3,212.80/4,816.32 = 1,672/x
  3. Step 3: Cross multiply
    3,212.80x = 4,816.32 × 1,672
  4. Step 4: Simplify right side
    3,212.80x = 8,052,887.04
  5. Step 5: Solve for x
    x = 8,052,887.04/3,212.80
  6. Step 6: Final answer
    x = 2,506.50

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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.