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Finding the Fourth Proportional to 11,712.90, 17,549.91 and 8,242.86

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Solution

The fourth proportional to 11,712.90, 17,549.91 and 8,242.86 is: 12,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.90 : 17,549.91 = 8,242.86 : x
  2. Step 2: Convert to fraction form
    11,712.90/17,549.91 = 8,242.86/x
  3. Step 3: Cross multiply
    11,712.90x = 17,549.91 × 8,242.86
  4. Step 4: Simplify right side
    11,712.90x = 144,661,451.14
  5. Step 5: Solve for x
    x = 144,661,451.14/11,712.90
  6. Step 6: Final answer
    x = 12,350.61

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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.