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Finding the Fourth Proportional to 2,832, 4,243.88 and 2,011.92

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Solution

The fourth proportional to 2,832, 4,243.88 and 2,011.92 is: 3,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832 : 4,243.88 = 2,011.92 : x
  2. Step 2: Convert to fraction form
    2,832/4,243.88 = 2,011.92/x
  3. Step 3: Cross multiply
    2,832x = 4,243.88 × 2,011.92
  4. Step 4: Simplify right side
    2,832x = 8,538,347.05
  5. Step 5: Solve for x
    x = 8,538,347.05/2,832
  6. Step 6: Final answer
    x = 3,014.95

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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.