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Finding the Fourth Proportional to 11,205.12, 16,774.57 and 9,821.09

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Solution

The fourth proportional to 11,205.12, 16,774.57 and 9,821.09 is: 14,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.12 : 16,774.57 = 9,821.09 : x
  2. Step 2: Convert to fraction form
    11,205.12/16,774.57 = 9,821.09/x
  3. Step 3: Cross multiply
    11,205.12x = 16,774.57 × 9,821.09
  4. Step 4: Simplify right side
    11,205.12x = 164,744,561.68
  5. Step 5: Solve for x
    x = 164,744,561.68/11,205.12
  6. Step 6: Final answer
    x = 14,702.61

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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.