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Finding the Fourth Proportional to 3,170, 4,757.94 and 1,611.11

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Solution

The fourth proportional to 3,170, 4,757.94 and 1,611.11 is: 2,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 4,757.94 = 1,611.11 : x
  2. Step 2: Convert to fraction form
    3,170/4,757.94 = 1,611.11/x
  3. Step 3: Cross multiply
    3,170x = 4,757.94 × 1,611.11
  4. Step 4: Simplify right side
    3,170x = 7,665,564.71
  5. Step 5: Solve for x
    x = 7,665,564.71/3,170
  6. Step 6: Final answer
    x = 2,418.16

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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.