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Finding the Fourth Proportional to 8,942.42, 13,421.21 and 3,680.25

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Solution

The fourth proportional to 8,942.42, 13,421.21 and 3,680.25 is: 5,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.42 : 13,421.21 = 3,680.25 : x
  2. Step 2: Convert to fraction form
    8,942.42/13,421.21 = 3,680.25/x
  3. Step 3: Cross multiply
    8,942.42x = 13,421.21 × 3,680.25
  4. Step 4: Simplify right side
    8,942.42x = 49,393,389.70
  5. Step 5: Solve for x
    x = 49,393,389.70/8,942.42
  6. Step 6: Final answer
    x = 5,523.50

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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.