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Finding the Fourth Proportional to 8,354.22, 11,529.99 and 5,211.42

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Solution

The fourth proportional to 8,354.22, 11,529.99 and 5,211.42 is: 7,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.22 : 11,529.99 = 5,211.42 : x
  2. Step 2: Convert to fraction form
    8,354.22/11,529.99 = 5,211.42/x
  3. Step 3: Cross multiply
    8,354.22x = 11,529.99 × 5,211.42
  4. Step 4: Simplify right side
    8,354.22x = 60,087,620.49
  5. Step 5: Solve for x
    x = 60,087,620.49/8,354.22
  6. Step 6: Final answer
    x = 7,192.49

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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.