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Finding the Fourth Proportional to 10,728.92, 14,812.80 and 8,744.22

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Solution

The fourth proportional to 10,728.92, 14,812.80 and 8,744.22 is: 12,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.92 : 14,812.80 = 8,744.22 : x
  2. Step 2: Convert to fraction form
    10,728.92/14,812.80 = 8,744.22/x
  3. Step 3: Cross multiply
    10,728.92x = 14,812.80 × 8,744.22
  4. Step 4: Simplify right side
    10,728.92x = 129,526,382.02
  5. Step 5: Solve for x
    x = 129,526,382.02/10,728.92
  6. Step 6: Final answer
    x = 12,072.64

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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.