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Finding the Fourth Proportional to 7,918.34, 11,874.02 and 4,219.78

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Solution

The fourth proportional to 7,918.34, 11,874.02 and 4,219.78 is: 6,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.34 : 11,874.02 = 4,219.78 : x
  2. Step 2: Convert to fraction form
    7,918.34/11,874.02 = 4,219.78/x
  3. Step 3: Cross multiply
    7,918.34x = 11,874.02 × 4,219.78
  4. Step 4: Simplify right side
    7,918.34x = 50,105,752.12
  5. Step 5: Solve for x
    x = 50,105,752.12/7,918.34
  6. Step 6: Final answer
    x = 6,327.81

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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.