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Finding the Fourth Proportional to 14,768.88, 20,380.30 and 8,394.64

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Solution

The fourth proportional to 14,768.88, 20,380.30 and 8,394.64 is: 11,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.88 : 20,380.30 = 8,394.64 : x
  2. Step 2: Convert to fraction form
    14,768.88/20,380.30 = 8,394.64/x
  3. Step 3: Cross multiply
    14,768.88x = 20,380.30 × 8,394.64
  4. Step 4: Simplify right side
    14,768.88x = 171,085,281.59
  5. Step 5: Solve for x
    x = 171,085,281.59/14,768.88
  6. Step 6: Final answer
    x = 11,584.17

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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.