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Finding the Fourth Proportional to 5,272.96, 7,909.44 and 3,905.92

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Solution

The fourth proportional to 5,272.96, 7,909.44 and 3,905.92 is: 5,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.96 : 7,909.44 = 3,905.92 : x
  2. Step 2: Convert to fraction form
    5,272.96/7,909.44 = 3,905.92/x
  3. Step 3: Cross multiply
    5,272.96x = 7,909.44 × 3,905.92
  4. Step 4: Simplify right side
    5,272.96x = 30,893,639.88
  5. Step 5: Solve for x
    x = 30,893,639.88/5,272.96
  6. Step 6: Final answer
    x = 5,858.88

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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.