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Finding the Fourth Proportional to 8,294.33, 12,447.70 and 3,914.86

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Solution

The fourth proportional to 8,294.33, 12,447.70 and 3,914.86 is: 5,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.33 : 12,447.70 = 3,914.86 : x
  2. Step 2: Convert to fraction form
    8,294.33/12,447.70 = 3,914.86/x
  3. Step 3: Cross multiply
    8,294.33x = 12,447.70 × 3,914.86
  4. Step 4: Simplify right side
    8,294.33x = 48,731,002.82
  5. Step 5: Solve for x
    x = 48,731,002.82/8,294.33
  6. Step 6: Final answer
    x = 5,875.22

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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.