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Finding the Fourth Proportional to 3,182.45, 4,750.42 and 2,947.96

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Solution

The fourth proportional to 3,182.45, 4,750.42 and 2,947.96 is: 4,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.45 : 4,750.42 = 2,947.96 : x
  2. Step 2: Convert to fraction form
    3,182.45/4,750.42 = 2,947.96/x
  3. Step 3: Cross multiply
    3,182.45x = 4,750.42 × 2,947.96
  4. Step 4: Simplify right side
    3,182.45x = 14,004,024.39
  5. Step 5: Solve for x
    x = 14,004,024.39/3,182.45
  6. Step 6: Final answer
    x = 4,400.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.