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Finding the Fourth Proportional to 2,135.00, 3,200.94 and 1,439.94

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Solution

The fourth proportional to 2,135.00, 3,200.94 and 1,439.94 is: 2,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.00 : 3,200.94 = 1,439.94 : x
  2. Step 2: Convert to fraction form
    2,135.00/3,200.94 = 1,439.94/x
  3. Step 3: Cross multiply
    2,135.00x = 3,200.94 × 1,439.94
  4. Step 4: Simplify right side
    2,135.00x = 4,609,161.54
  5. Step 5: Solve for x
    x = 4,609,161.54/2,135.00
  6. Step 6: Final answer
    x = 2,158.86

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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.