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Finding the Fourth Proportional to 10,728.80, 14,805 and 7,191.44

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Solution

The fourth proportional to 10,728.80, 14,805 and 7,191.44 is: 9,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.80 : 14,805 = 7,191.44 : x
  2. Step 2: Convert to fraction form
    10,728.80/14,805 = 7,191.44/x
  3. Step 3: Cross multiply
    10,728.80x = 14,805 × 7,191.44
  4. Step 4: Simplify right side
    10,728.80x = 106,469,269.20
  5. Step 5: Solve for x
    x = 106,469,269.20/10,728.80
  6. Step 6: Final answer
    x = 9,923.69

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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.