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Finding the Fourth Proportional to 13,527.96, 18,680.46 and 8,500.89

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Solution

The fourth proportional to 13,527.96, 18,680.46 and 8,500.89 is: 11,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.96 : 18,680.46 = 8,500.89 : x
  2. Step 2: Convert to fraction form
    13,527.96/18,680.46 = 8,500.89/x
  3. Step 3: Cross multiply
    13,527.96x = 18,680.46 × 8,500.89
  4. Step 4: Simplify right side
    13,527.96x = 158,800,535.61
  5. Step 5: Solve for x
    x = 158,800,535.61/13,527.96
  6. Step 6: Final answer
    x = 11,738.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.