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Finding the Fourth Proportional to 8,523.96, 12,781.62 and 3,903

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Solution

The fourth proportional to 8,523.96, 12,781.62 and 3,903 is: 5,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.96 : 12,781.62 = 3,903 : x
  2. Step 2: Convert to fraction form
    8,523.96/12,781.62 = 3,903/x
  3. Step 3: Cross multiply
    8,523.96x = 12,781.62 × 3,903
  4. Step 4: Simplify right side
    8,523.96x = 49,886,662.86
  5. Step 5: Solve for x
    x = 49,886,662.86/8,523.96
  6. Step 6: Final answer
    x = 5,852.52

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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.