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Finding the Fourth Proportional to 14,759.64, 20,367 and 8,385.84

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Solution

The fourth proportional to 14,759.64, 20,367 and 8,385.84 is: 11,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,759.64 : 20,367 = 8,385.84 : x
  2. Step 2: Convert to fraction form
    14,759.64/20,367 = 8,385.84/x
  3. Step 3: Cross multiply
    14,759.64x = 20,367 × 8,385.84
  4. Step 4: Simplify right side
    14,759.64x = 170,794,403.28
  5. Step 5: Solve for x
    x = 170,794,403.28/14,759.64
  6. Step 6: Final answer
    x = 11,571.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.