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Finding the Fourth Proportional to 7,808.28, 11,728.52 and 7,471.43

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Solution

The fourth proportional to 7,808.28, 11,728.52 and 7,471.43 is: 11,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.28 : 11,728.52 = 7,471.43 : x
  2. Step 2: Convert to fraction form
    7,808.28/11,728.52 = 7,471.43/x
  3. Step 3: Cross multiply
    7,808.28x = 11,728.52 × 7,471.43
  4. Step 4: Simplify right side
    7,808.28x = 87,628,720.18
  5. Step 5: Solve for x
    x = 87,628,720.18/7,808.28
  6. Step 6: Final answer
    x = 11,222.54

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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.