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Finding the Fourth Proportional to 11,486.88, 17,234.97 and 7,787.00

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Solution

The fourth proportional to 11,486.88, 17,234.97 and 7,787.00 is: 11,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.88 : 17,234.97 = 7,787.00 : x
  2. Step 2: Convert to fraction form
    11,486.88/17,234.97 = 7,787.00/x
  3. Step 3: Cross multiply
    11,486.88x = 17,234.97 × 7,787.00
  4. Step 4: Simplify right side
    11,486.88x = 134,208,625.22
  5. Step 5: Solve for x
    x = 134,208,625.22/11,486.88
  6. Step 6: Final answer
    x = 11,683.64

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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.