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Finding the Fourth Proportional to 3,984, 5,975.99 and 1,645.32

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Solution

The fourth proportional to 3,984, 5,975.99 and 1,645.32 is: 2,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 5,975.99 = 1,645.32 : x
  2. Step 2: Convert to fraction form
    3,984/5,975.99 = 1,645.32/x
  3. Step 3: Cross multiply
    3,984x = 5,975.99 × 1,645.32
  4. Step 4: Simplify right side
    3,984x = 9,832,415.87
  5. Step 5: Solve for x
    x = 9,832,415.87/3,984
  6. Step 6: Final answer
    x = 2,467.98

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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.