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Finding the Fourth Proportional to 12,166.65, 18,224.46 and 6,305.49

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Solution

The fourth proportional to 12,166.65, 18,224.46 and 6,305.49 is: 9,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.65 : 18,224.46 = 6,305.49 : x
  2. Step 2: Convert to fraction form
    12,166.65/18,224.46 = 6,305.49/x
  3. Step 3: Cross multiply
    12,166.65x = 18,224.46 × 6,305.49
  4. Step 4: Simplify right side
    12,166.65x = 114,914,150.29
  5. Step 5: Solve for x
    x = 114,914,150.29/12,166.65
  6. Step 6: Final answer
    x = 9,445.01

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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.