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Finding the Fourth Proportional to 9,786.88, 14,680.30 and 4,859.97

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Solution

The fourth proportional to 9,786.88, 14,680.30 and 4,859.97 is: 7,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.88 : 14,680.30 = 4,859.97 : x
  2. Step 2: Convert to fraction form
    9,786.88/14,680.30 = 4,859.97/x
  3. Step 3: Cross multiply
    9,786.88x = 14,680.30 × 4,859.97
  4. Step 4: Simplify right side
    9,786.88x = 71,345,817.59
  5. Step 5: Solve for x
    x = 71,345,817.59/9,786.88
  6. Step 6: Final answer
    x = 7,289.95

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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.