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Finding the Fourth Proportional to 21,107.36, 31,661.03 and 7,956.65

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Solution

The fourth proportional to 21,107.36, 31,661.03 and 7,956.65 is: 11,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.36 : 31,661.03 = 7,956.65 : x
  2. Step 2: Convert to fraction form
    21,107.36/31,661.03 = 7,956.65/x
  3. Step 3: Cross multiply
    21,107.36x = 31,661.03 × 7,956.65
  4. Step 4: Simplify right side
    21,107.36x = 251,915,882.81
  5. Step 5: Solve for x
    x = 251,915,882.81/21,107.36
  6. Step 6: Final answer
    x = 11,934.98

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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.