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Finding the Fourth Proportional to 8,211.79, 12,314.48 and 2,663.79

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Solution

The fourth proportional to 8,211.79, 12,314.48 and 2,663.79 is: 3,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.79 : 12,314.48 = 2,663.79 : x
  2. Step 2: Convert to fraction form
    8,211.79/12,314.48 = 2,663.79/x
  3. Step 3: Cross multiply
    8,211.79x = 12,314.48 × 2,663.79
  4. Step 4: Simplify right side
    8,211.79x = 32,803,188.68
  5. Step 5: Solve for x
    x = 32,803,188.68/8,211.79
  6. Step 6: Final answer
    x = 3,994.65

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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.