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Finding the Fourth Proportional to 15,857.79, 23,786.91 and 7,538.66

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Solution

The fourth proportional to 15,857.79, 23,786.91 and 7,538.66 is: 11,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.79 : 23,786.91 = 7,538.66 : x
  2. Step 2: Convert to fraction form
    15,857.79/23,786.91 = 7,538.66/x
  3. Step 3: Cross multiply
    15,857.79x = 23,786.91 × 7,538.66
  4. Step 4: Simplify right side
    15,857.79x = 179,321,308.01
  5. Step 5: Solve for x
    x = 179,321,308.01/15,857.79
  6. Step 6: Final answer
    x = 11,308.09

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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.