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Finding the Fourth Proportional to 3,150.96, 4,725.48 and 1,782

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Solution

The fourth proportional to 3,150.96, 4,725.48 and 1,782 is: 2,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.96 : 4,725.48 = 1,782 : x
  2. Step 2: Convert to fraction form
    3,150.96/4,725.48 = 1,782/x
  3. Step 3: Cross multiply
    3,150.96x = 4,725.48 × 1,782
  4. Step 4: Simplify right side
    3,150.96x = 8,420,805.36
  5. Step 5: Solve for x
    x = 8,420,805.36/3,150.96
  6. Step 6: Final answer
    x = 2,672.46

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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.