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Finding the Fourth Proportional to 13,970.64, 20,949.48 and 8,128.92

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Solution

The fourth proportional to 13,970.64, 20,949.48 and 8,128.92 is: 12,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.64 : 20,949.48 = 8,128.92 : x
  2. Step 2: Convert to fraction form
    13,970.64/20,949.48 = 8,128.92/x
  3. Step 3: Cross multiply
    13,970.64x = 20,949.48 × 8,128.92
  4. Step 4: Simplify right side
    13,970.64x = 170,296,646.96
  5. Step 5: Solve for x
    x = 170,296,646.96/13,970.64
  6. Step 6: Final answer
    x = 12,189.61

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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.