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Finding the Fourth Proportional to 4,611.87, 6,917.75 and 2,145.32

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Solution

The fourth proportional to 4,611.87, 6,917.75 and 2,145.32 is: 3,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.87 : 6,917.75 = 2,145.32 : x
  2. Step 2: Convert to fraction form
    4,611.87/6,917.75 = 2,145.32/x
  3. Step 3: Cross multiply
    4,611.87x = 6,917.75 × 2,145.32
  4. Step 4: Simplify right side
    4,611.87x = 14,840,742.11
  5. Step 5: Solve for x
    x = 14,840,742.11/4,611.87
  6. Step 6: Final answer
    x = 3,217.95

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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.