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Finding the Fourth Proportional to 8,392.42, 12,586.68 and 3,709.88

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Solution

The fourth proportional to 8,392.42, 12,586.68 and 3,709.88 is: 5,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.42 : 12,586.68 = 3,709.88 : x
  2. Step 2: Convert to fraction form
    8,392.42/12,586.68 = 3,709.88/x
  3. Step 3: Cross multiply
    8,392.42x = 12,586.68 × 3,709.88
  4. Step 4: Simplify right side
    8,392.42x = 46,695,072.40
  5. Step 5: Solve for x
    x = 46,695,072.40/8,392.42
  6. Step 6: Final answer
    x = 5,563.96

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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.