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Finding the Fourth Proportional to 12,115.64, 18,186.42 and 9,834.68

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Solution

The fourth proportional to 12,115.64, 18,186.42 and 9,834.68 is: 14,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.64 : 18,186.42 = 9,834.68 : x
  2. Step 2: Convert to fraction form
    12,115.64/18,186.42 = 9,834.68/x
  3. Step 3: Cross multiply
    12,115.64x = 18,186.42 × 9,834.68
  4. Step 4: Simplify right side
    12,115.64x = 178,857,621.05
  5. Step 5: Solve for x
    x = 178,857,621.05/12,115.64
  6. Step 6: Final answer
    x = 14,762.54

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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.