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Finding the Fourth Proportional to 13,978.19, 20,934.88 and 8,419.39

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Solution

The fourth proportional to 13,978.19, 20,934.88 and 8,419.39 is: 12,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.19 : 20,934.88 = 8,419.39 : x
  2. Step 2: Convert to fraction form
    13,978.19/20,934.88 = 8,419.39/x
  3. Step 3: Cross multiply
    13,978.19x = 20,934.88 × 8,419.39
  4. Step 4: Simplify right side
    13,978.19x = 176,258,919.32
  5. Step 5: Solve for x
    x = 176,258,919.32/13,978.19
  6. Step 6: Final answer
    x = 12,609.57

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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.