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Finding the Fourth Proportional to 20,551.32, 30,826.97 and 8,706.96

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Solution

The fourth proportional to 20,551.32, 30,826.97 and 8,706.96 is: 13,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.32 : 30,826.97 = 8,706.96 : x
  2. Step 2: Convert to fraction form
    20,551.32/30,826.97 = 8,706.96/x
  3. Step 3: Cross multiply
    20,551.32x = 30,826.97 × 8,706.96
  4. Step 4: Simplify right side
    20,551.32x = 268,409,194.71
  5. Step 5: Solve for x
    x = 268,409,194.71/20,551.32
  6. Step 6: Final answer
    x = 13,060.44

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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.