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Finding the Fourth Proportional to 3,189.84, 4,784.44 and 1,109.64

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Solution

The fourth proportional to 3,189.84, 4,784.44 and 1,109.64 is: 1,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.84 : 4,784.44 = 1,109.64 : x
  2. Step 2: Convert to fraction form
    3,189.84/4,784.44 = 1,109.64/x
  3. Step 3: Cross multiply
    3,189.84x = 4,784.44 × 1,109.64
  4. Step 4: Simplify right side
    3,189.84x = 5,309,006.00
  5. Step 5: Solve for x
    x = 5,309,006.00/3,189.84
  6. Step 6: Final answer
    x = 1,664.35

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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.