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Finding the Fourth Proportional to 11,767.67, 17,657.48 and 7,821.62

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Solution

The fourth proportional to 11,767.67, 17,657.48 and 7,821.62 is: 11,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.67 : 17,657.48 = 7,821.62 : x
  2. Step 2: Convert to fraction form
    11,767.67/17,657.48 = 7,821.62/x
  3. Step 3: Cross multiply
    11,767.67x = 17,657.48 × 7,821.62
  4. Step 4: Simplify right side
    11,767.67x = 138,110,098.72
  5. Step 5: Solve for x
    x = 138,110,098.72/11,767.67
  6. Step 6: Final answer
    x = 11,736.40

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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.