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Finding the Fourth Proportional to 4,112, 5,672.34 and 2,933.72

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Solution

The fourth proportional to 4,112, 5,672.34 and 2,933.72 is: 4,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112 : 5,672.34 = 2,933.72 : x
  2. Step 2: Convert to fraction form
    4,112/5,672.34 = 2,933.72/x
  3. Step 3: Cross multiply
    4,112x = 5,672.34 × 2,933.72
  4. Step 4: Simplify right side
    4,112x = 16,641,057.30
  5. Step 5: Solve for x
    x = 16,641,057.30/4,112
  6. Step 6: Final answer
    x = 4,046.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.