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Finding the Fourth Proportional to 12,251, 18,332.74 and 10,613.16

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Solution

The fourth proportional to 12,251, 18,332.74 and 10,613.16 is: 15,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251 : 18,332.74 = 10,613.16 : x
  2. Step 2: Convert to fraction form
    12,251/18,332.74 = 10,613.16/x
  3. Step 3: Cross multiply
    12,251x = 18,332.74 × 10,613.16
  4. Step 4: Simplify right side
    12,251x = 194,568,302.86
  5. Step 5: Solve for x
    x = 194,568,302.86/12,251
  6. Step 6: Final answer
    x = 15,881.83

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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.