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Finding the Fourth Proportional to 3,188, 4,783.92 and 1,339.04

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Solution

The fourth proportional to 3,188, 4,783.92 and 1,339.04 is: 2,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188 : 4,783.92 = 1,339.04 : x
  2. Step 2: Convert to fraction form
    3,188/4,783.92 = 1,339.04/x
  3. Step 3: Cross multiply
    3,188x = 4,783.92 × 1,339.04
  4. Step 4: Simplify right side
    3,188x = 6,405,860.24
  5. Step 5: Solve for x
    x = 6,405,860.24/3,188
  6. Step 6: Final answer
    x = 2,009.37

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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.