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Finding the Fourth Proportional to 13,998.45, 20,970 and 8,435.37

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Solution

The fourth proportional to 13,998.45, 20,970 and 8,435.37 is: 12,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.45 : 20,970 = 8,435.37 : x
  2. Step 2: Convert to fraction form
    13,998.45/20,970 = 8,435.37/x
  3. Step 3: Cross multiply
    13,998.45x = 20,970 × 8,435.37
  4. Step 4: Simplify right side
    13,998.45x = 176,889,708.90
  5. Step 5: Solve for x
    x = 176,889,708.90/13,998.45
  6. Step 6: Final answer
    x = 12,636.38

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1.5x scale

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.