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Finding the Fourth Proportional to 11,949.84, 17,878.44 and 8,625.74

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Solution

The fourth proportional to 11,949.84, 17,878.44 and 8,625.74 is: 12,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.84 : 17,878.44 = 8,625.74 : x
  2. Step 2: Convert to fraction form
    11,949.84/17,878.44 = 8,625.74/x
  3. Step 3: Cross multiply
    11,949.84x = 17,878.44 × 8,625.74
  4. Step 4: Simplify right side
    11,949.84x = 154,214,775.05
  5. Step 5: Solve for x
    x = 154,214,775.05/11,949.84
  6. Step 6: Final answer
    x = 12,905.17

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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.