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Finding the Fourth Proportional to 3,187.82, 4,784.64 and 1,628.90

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Solution

The fourth proportional to 3,187.82, 4,784.64 and 1,628.90 is: 2,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.82 : 4,784.64 = 1,628.90 : x
  2. Step 2: Convert to fraction form
    3,187.82/4,784.64 = 1,628.90/x
  3. Step 3: Cross multiply
    3,187.82x = 4,784.64 × 1,628.90
  4. Step 4: Simplify right side
    3,187.82x = 7,793,724.08
  5. Step 5: Solve for x
    x = 7,793,724.08/3,187.82
  6. Step 6: Final answer
    x = 2,444.84

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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.