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Finding the Fourth Proportional to 12,285.84, 16,949.08 and 8,305.52

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Solution

The fourth proportional to 12,285.84, 16,949.08 and 8,305.52 is: 11,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.84 : 16,949.08 = 8,305.52 : x
  2. Step 2: Convert to fraction form
    12,285.84/16,949.08 = 8,305.52/x
  3. Step 3: Cross multiply
    12,285.84x = 16,949.08 × 8,305.52
  4. Step 4: Simplify right side
    12,285.84x = 140,770,922.92
  5. Step 5: Solve for x
    x = 140,770,922.92/12,285.84
  6. Step 6: Final answer
    x = 11,457.98

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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.