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Finding the Fourth Proportional to 12,423.16, 17,151.04 and 8,186.54

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Solution

The fourth proportional to 12,423.16, 17,151.04 and 8,186.54 is: 11,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.16 : 17,151.04 = 8,186.54 : x
  2. Step 2: Convert to fraction form
    12,423.16/17,151.04 = 8,186.54/x
  3. Step 3: Cross multiply
    12,423.16x = 17,151.04 × 8,186.54
  4. Step 4: Simplify right side
    12,423.16x = 140,407,553.43
  5. Step 5: Solve for x
    x = 140,407,553.43/12,423.16
  6. Step 6: Final answer
    x = 11,302.08

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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.