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Finding the Fourth Proportional to 21,107.49, 31,660.12 and 7,959.01

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Solution

The fourth proportional to 21,107.49, 31,660.12 and 7,959.01 is: 11,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.49 : 31,660.12 = 7,959.01 : x
  2. Step 2: Convert to fraction form
    21,107.49/31,660.12 = 7,959.01/x
  3. Step 3: Cross multiply
    21,107.49x = 31,660.12 × 7,959.01
  4. Step 4: Simplify right side
    21,107.49x = 251,983,171.89
  5. Step 5: Solve for x
    x = 251,983,171.89/21,107.49
  6. Step 6: Final answer
    x = 11,938.09

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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.