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Finding the Fourth Proportional to 8,722.56, 13,074.12 and 3,784.80

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Solution

The fourth proportional to 8,722.56, 13,074.12 and 3,784.80 is: 5,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.56 : 13,074.12 = 3,784.80 : x
  2. Step 2: Convert to fraction form
    8,722.56/13,074.12 = 3,784.80/x
  3. Step 3: Cross multiply
    8,722.56x = 13,074.12 × 3,784.80
  4. Step 4: Simplify right side
    8,722.56x = 49,482,929.38
  5. Step 5: Solve for x
    x = 49,482,929.38/8,722.56
  6. Step 6: Final answer
    x = 5,672.98

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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.