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Finding the Fourth Proportional to 15,912.31, 21,962.96 and 9,201.82

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Solution

The fourth proportional to 15,912.31, 21,962.96 and 9,201.82 is: 12,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912.31 : 21,962.96 = 9,201.82 : x
  2. Step 2: Convert to fraction form
    15,912.31/21,962.96 = 9,201.82/x
  3. Step 3: Cross multiply
    15,912.31x = 21,962.96 × 9,201.82
  4. Step 4: Simplify right side
    15,912.31x = 202,099,204.59
  5. Step 5: Solve for x
    x = 202,099,204.59/15,912.31
  6. Step 6: Final answer
    x = 12,700.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.