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Finding the Fourth Proportional to 12,553.84, 18,833.90 and 8,863.28

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Solution

The fourth proportional to 12,553.84, 18,833.90 and 8,863.28 is: 13,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.84 : 18,833.90 = 8,863.28 : x
  2. Step 2: Convert to fraction form
    12,553.84/18,833.90 = 8,863.28/x
  3. Step 3: Cross multiply
    12,553.84x = 18,833.90 × 8,863.28
  4. Step 4: Simplify right side
    12,553.84x = 166,930,129.19
  5. Step 5: Solve for x
    x = 166,930,129.19/12,553.84
  6. Step 6: Final answer
    x = 13,297.14

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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.