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Finding the Fourth Proportional to 9,728.20, 14,570.70 and 8,000.20

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Solution

The fourth proportional to 9,728.20, 14,570.70 and 8,000.20 is: 11,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.20 : 14,570.70 = 8,000.20 : x
  2. Step 2: Convert to fraction form
    9,728.20/14,570.70 = 8,000.20/x
  3. Step 3: Cross multiply
    9,728.20x = 14,570.70 × 8,000.20
  4. Step 4: Simplify right side
    9,728.20x = 116,568,514.14
  5. Step 5: Solve for x
    x = 116,568,514.14/9,728.20
  6. Step 6: Final answer
    x = 11,982.54

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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.