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Finding the Fourth Proportional to 15,857.94, 23,794.29 and 7,098.78

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Solution

The fourth proportional to 15,857.94, 23,794.29 and 7,098.78 is: 10,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.94 : 23,794.29 = 7,098.78 : x
  2. Step 2: Convert to fraction form
    15,857.94/23,794.29 = 7,098.78/x
  3. Step 3: Cross multiply
    15,857.94x = 23,794.29 × 7,098.78
  4. Step 4: Simplify right side
    15,857.94x = 168,910,429.97
  5. Step 5: Solve for x
    x = 168,910,429.97/15,857.94
  6. Step 6: Final answer
    x = 10,651.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.