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Finding the Fourth Proportional to 11,767.90, 17,680.65 and 8,851.90

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Solution

The fourth proportional to 11,767.90, 17,680.65 and 8,851.90 is: 13,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.90 : 17,680.65 = 8,851.90 : x
  2. Step 2: Convert to fraction form
    11,767.90/17,680.65 = 8,851.90/x
  3. Step 3: Cross multiply
    11,767.90x = 17,680.65 × 8,851.90
  4. Step 4: Simplify right side
    11,767.90x = 156,507,345.74
  5. Step 5: Solve for x
    x = 156,507,345.74/11,767.90
  6. Step 6: Final answer
    x = 13,299.51

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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.