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Finding the Fourth Proportional to 14,517.20, 21,783 and 5,751.92

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Solution

The fourth proportional to 14,517.20, 21,783 and 5,751.92 is: 8,630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.20 : 21,783 = 5,751.92 : x
  2. Step 2: Convert to fraction form
    14,517.20/21,783 = 5,751.92/x
  3. Step 3: Cross multiply
    14,517.20x = 21,783 × 5,751.92
  4. Step 4: Simplify right side
    14,517.20x = 125,294,073.36
  5. Step 5: Solve for x
    x = 125,294,073.36/14,517.20
  6. Step 6: Final answer
    x = 8,630.73

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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.