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Finding the Fourth Proportional to 11,872.85, 17,808.73 and 6,641.06

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Solution

The fourth proportional to 11,872.85, 17,808.73 and 6,641.06 is: 9,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.85 : 17,808.73 = 6,641.06 : x
  2. Step 2: Convert to fraction form
    11,872.85/17,808.73 = 6,641.06/x
  3. Step 3: Cross multiply
    11,872.85x = 17,808.73 × 6,641.06
  4. Step 4: Simplify right side
    11,872.85x = 118,268,738.81
  5. Step 5: Solve for x
    x = 118,268,738.81/11,872.85
  6. Step 6: Final answer
    x = 9,961.28

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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.