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Finding the Fourth Proportional to 15,785.73, 23,679 and 7,469.64

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Solution

The fourth proportional to 15,785.73, 23,679 and 7,469.64 is: 11,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.73 : 23,679 = 7,469.64 : x
  2. Step 2: Convert to fraction form
    15,785.73/23,679 = 7,469.64/x
  3. Step 3: Cross multiply
    15,785.73x = 23,679 × 7,469.64
  4. Step 4: Simplify right side
    15,785.73x = 176,873,605.56
  5. Step 5: Solve for x
    x = 176,873,605.56/15,785.73
  6. Step 6: Final answer
    x = 11,204.65

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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.