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Finding the Fourth Proportional to 2,896.62, 4,340.88 and 2,112

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Solution

The fourth proportional to 2,896.62, 4,340.88 and 2,112 is: 3,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.62 : 4,340.88 = 2,112 : x
  2. Step 2: Convert to fraction form
    2,896.62/4,340.88 = 2,112/x
  3. Step 3: Cross multiply
    2,896.62x = 4,340.88 × 2,112
  4. Step 4: Simplify right side
    2,896.62x = 9,167,938.56
  5. Step 5: Solve for x
    x = 9,167,938.56/2,896.62
  6. Step 6: Final answer
    x = 3,165.05

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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.