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Finding the Fourth Proportional to 3,984.94, 5,978.12 and 1,643.64

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Solution

The fourth proportional to 3,984.94, 5,978.12 and 1,643.64 is: 2,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.94 : 5,978.12 = 1,643.64 : x
  2. Step 2: Convert to fraction form
    3,984.94/5,978.12 = 1,643.64/x
  3. Step 3: Cross multiply
    3,984.94x = 5,978.12 × 1,643.64
  4. Step 4: Simplify right side
    3,984.94x = 9,825,877.16
  5. Step 5: Solve for x
    x = 9,825,877.16/3,984.94
  6. Step 6: Final answer
    x = 2,465.75

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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.