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Finding the Fourth Proportional to 21,661.88, 32,494.02 and 6,872

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Solution

The fourth proportional to 21,661.88, 32,494.02 and 6,872 is: 10,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.88 : 32,494.02 = 6,872 : x
  2. Step 2: Convert to fraction form
    21,661.88/32,494.02 = 6,872/x
  3. Step 3: Cross multiply
    21,661.88x = 32,494.02 × 6,872
  4. Step 4: Simplify right side
    21,661.88x = 223,298,905.44
  5. Step 5: Solve for x
    x = 223,298,905.44/21,661.88
  6. Step 6: Final answer
    x = 10,308.38

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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.