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Finding the Fourth Proportional to 3,782, 5,672.96 and 1,475.12

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Solution

The fourth proportional to 3,782, 5,672.96 and 1,475.12 is: 2,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782 : 5,672.96 = 1,475.12 : x
  2. Step 2: Convert to fraction form
    3,782/5,672.96 = 1,475.12/x
  3. Step 3: Cross multiply
    3,782x = 5,672.96 × 1,475.12
  4. Step 4: Simplify right side
    3,782x = 8,368,296.76
  5. Step 5: Solve for x
    x = 8,368,296.76/3,782
  6. Step 6: Final answer
    x = 2,212.66

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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.