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Finding the Fourth Proportional to 20,471.01, 30,706.65 and 8,784.33

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Solution

The fourth proportional to 20,471.01, 30,706.65 and 8,784.33 is: 13,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.01 : 30,706.65 = 8,784.33 : x
  2. Step 2: Convert to fraction form
    20,471.01/30,706.65 = 8,784.33/x
  3. Step 3: Cross multiply
    20,471.01x = 30,706.65 × 8,784.33
  4. Step 4: Simplify right side
    20,471.01x = 269,737,346.79
  5. Step 5: Solve for x
    x = 269,737,346.79/20,471.01
  6. Step 6: Final answer
    x = 13,176.55

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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.