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Finding the Fourth Proportional to 13,930.70, 20,901.38 and 8,388

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Solution

The fourth proportional to 13,930.70, 20,901.38 and 8,388 is: 12,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.70 : 20,901.38 = 8,388 : x
  2. Step 2: Convert to fraction form
    13,930.70/20,901.38 = 8,388/x
  3. Step 3: Cross multiply
    13,930.70x = 20,901.38 × 8,388
  4. Step 4: Simplify right side
    13,930.70x = 175,320,733.50
  5. Step 5: Solve for x
    x = 175,320,733.50/13,930.70
  6. Step 6: Final answer
    x = 12,585.21

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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.