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Finding the Fourth Proportional to 20,555.68, 30,816 and 8,708.96

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Solution

The fourth proportional to 20,555.68, 30,816 and 8,708.96 is: 13,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,555.68 : 30,816 = 8,708.96 : x
  2. Step 2: Convert to fraction form
    20,555.68/30,816 = 8,708.96/x
  3. Step 3: Cross multiply
    20,555.68x = 30,816 × 8,708.96
  4. Step 4: Simplify right side
    20,555.68x = 268,375,311.36
  5. Step 5: Solve for x
    x = 268,375,311.36/20,555.68
  6. Step 6: Final answer
    x = 13,056.02

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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.