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Finding the Fourth Proportional to 4,609.87, 6,914.08 and 1,687.48

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Solution

The fourth proportional to 4,609.87, 6,914.08 and 1,687.48 is: 2,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.87 : 6,914.08 = 1,687.48 : x
  2. Step 2: Convert to fraction form
    4,609.87/6,914.08 = 1,687.48/x
  3. Step 3: Cross multiply
    4,609.87x = 6,914.08 × 1,687.48
  4. Step 4: Simplify right side
    4,609.87x = 11,667,371.72
  5. Step 5: Solve for x
    x = 11,667,371.72/4,609.87
  6. Step 6: Final answer
    x = 2,530.95

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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.