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Finding the Fourth Proportional to 8,400.29, 12,514.23 and 8,021.21

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Solution

The fourth proportional to 8,400.29, 12,514.23 and 8,021.21 is: 11,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.29 : 12,514.23 = 8,021.21 : x
  2. Step 2: Convert to fraction form
    8,400.29/12,514.23 = 8,021.21/x
  3. Step 3: Cross multiply
    8,400.29x = 12,514.23 × 8,021.21
  4. Step 4: Simplify right side
    8,400.29x = 100,379,204.25
  5. Step 5: Solve for x
    x = 100,379,204.25/8,400.29
  6. Step 6: Final answer
    x = 11,949.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.