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Finding the Fourth Proportional to 11,877.66, 17,815.13 and 3,113.27

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Solution

The fourth proportional to 11,877.66, 17,815.13 and 3,113.27 is: 4,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.66 : 17,815.13 = 3,113.27 : x
  2. Step 2: Convert to fraction form
    11,877.66/17,815.13 = 3,113.27/x
  3. Step 3: Cross multiply
    11,877.66x = 17,815.13 × 3,113.27
  4. Step 4: Simplify right side
    11,877.66x = 55,463,205.13
  5. Step 5: Solve for x
    x = 55,463,205.13/11,877.66
  6. Step 6: Final answer
    x = 4,669.54

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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.