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Finding the Fourth Proportional to 8,984.69, 13,471.80 and 3,438.42

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Solution

The fourth proportional to 8,984.69, 13,471.80 and 3,438.42 is: 5,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.69 : 13,471.80 = 3,438.42 : x
  2. Step 2: Convert to fraction form
    8,984.69/13,471.80 = 3,438.42/x
  3. Step 3: Cross multiply
    8,984.69x = 13,471.80 × 3,438.42
  4. Step 4: Simplify right side
    8,984.69x = 46,321,706.56
  5. Step 5: Solve for x
    x = 46,321,706.56/8,984.69
  6. Step 6: Final answer
    x = 5,155.63

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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.