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Finding the Fourth Proportional to 4,268, 5,889.84 and 2,405

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Solution

The fourth proportional to 4,268, 5,889.84 and 2,405 is: 3,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268 : 5,889.84 = 2,405 : x
  2. Step 2: Convert to fraction form
    4,268/5,889.84 = 2,405/x
  3. Step 3: Cross multiply
    4,268x = 5,889.84 × 2,405
  4. Step 4: Simplify right side
    4,268x = 14,165,065.20
  5. Step 5: Solve for x
    x = 14,165,065.20/4,268
  6. Step 6: Final answer
    x = 3,318.90

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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.