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Finding the Fourth Proportional to 11,801.68, 17,686 and 8,876.56

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Solution

The fourth proportional to 11,801.68, 17,686 and 8,876.56 is: 13,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.68 : 17,686 = 8,876.56 : x
  2. Step 2: Convert to fraction form
    11,801.68/17,686 = 8,876.56/x
  3. Step 3: Cross multiply
    11,801.68x = 17,686 × 8,876.56
  4. Step 4: Simplify right side
    11,801.68x = 156,990,840.16
  5. Step 5: Solve for x
    x = 156,990,840.16/11,801.68
  6. Step 6: Final answer
    x = 13,302.41

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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.