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Finding the Fourth Proportional to 4,611.34, 6,918.40 and 2,147.64

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Solution

The fourth proportional to 4,611.34, 6,918.40 and 2,147.64 is: 3,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.34 : 6,918.40 = 2,147.64 : x
  2. Step 2: Convert to fraction form
    4,611.34/6,918.40 = 2,147.64/x
  3. Step 3: Cross multiply
    4,611.34x = 6,918.40 × 2,147.64
  4. Step 4: Simplify right side
    4,611.34x = 14,858,232.58
  5. Step 5: Solve for x
    x = 14,858,232.58/4,611.34
  6. Step 6: Final answer
    x = 3,222.11

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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.