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Finding the Fourth Proportional to 12,228, 16,878.48 and 7,812

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Solution

The fourth proportional to 12,228, 16,878.48 and 7,812 is: 10,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228 : 16,878.48 = 7,812 : x
  2. Step 2: Convert to fraction form
    12,228/16,878.48 = 7,812/x
  3. Step 3: Cross multiply
    12,228x = 16,878.48 × 7,812
  4. Step 4: Simplify right side
    12,228x = 131,854,685.76
  5. Step 5: Solve for x
    x = 131,854,685.76/12,228
  6. Step 6: Final answer
    x = 10,783.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.