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Finding the Fourth Proportional to 8,109.40, 12,144.90 and 5,498.20

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Solution

The fourth proportional to 8,109.40, 12,144.90 and 5,498.20 is: 8,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.40 : 12,144.90 = 5,498.20 : x
  2. Step 2: Convert to fraction form
    8,109.40/12,144.90 = 5,498.20/x
  3. Step 3: Cross multiply
    8,109.40x = 12,144.90 × 5,498.20
  4. Step 4: Simplify right side
    8,109.40x = 66,775,089.18
  5. Step 5: Solve for x
    x = 66,775,089.18/8,109.40
  6. Step 6: Final answer
    x = 8,234.28

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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.