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Finding the Fourth Proportional to 11,486.72, 17,234.36 and 7,823.49

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Solution

The fourth proportional to 11,486.72, 17,234.36 and 7,823.49 is: 11,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.72 : 17,234.36 = 7,823.49 : x
  2. Step 2: Convert to fraction form
    11,486.72/17,234.36 = 7,823.49/x
  3. Step 3: Cross multiply
    11,486.72x = 17,234.36 × 7,823.49
  4. Step 4: Simplify right side
    11,486.72x = 134,832,804.00
  5. Step 5: Solve for x
    x = 134,832,804.00/11,486.72
  6. Step 6: Final answer
    x = 11,738.15

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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.