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Finding the Fourth Proportional to 8,614.72, 12,922.80 and 3,684.16

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Solution

The fourth proportional to 8,614.72, 12,922.80 and 3,684.16 is: 5,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.72 : 12,922.80 = 3,684.16 : x
  2. Step 2: Convert to fraction form
    8,614.72/12,922.80 = 3,684.16/x
  3. Step 3: Cross multiply
    8,614.72x = 12,922.80 × 3,684.16
  4. Step 4: Simplify right side
    8,614.72x = 47,609,662.85
  5. Step 5: Solve for x
    x = 47,609,662.85/8,614.72
  6. Step 6: Final answer
    x = 5,526.55

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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.