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Finding the Fourth Proportional to 13,939.22, 20,909.02 and 4,078.70

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Solution

The fourth proportional to 13,939.22, 20,909.02 and 4,078.70 is: 6,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.22 : 20,909.02 = 4,078.70 : x
  2. Step 2: Convert to fraction form
    13,939.22/20,909.02 = 4,078.70/x
  3. Step 3: Cross multiply
    13,939.22x = 20,909.02 × 4,078.70
  4. Step 4: Simplify right side
    13,939.22x = 85,281,619.87
  5. Step 5: Solve for x
    x = 85,281,619.87/13,939.22
  6. Step 6: Final answer
    x = 6,118.11

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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.