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Finding the Fourth Proportional to 10,296, 15,429.24 and 5,605.83

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Solution

The fourth proportional to 10,296, 15,429.24 and 5,605.83 is: 8,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 15,429.24 = 5,605.83 : x
  2. Step 2: Convert to fraction form
    10,296/15,429.24 = 5,605.83/x
  3. Step 3: Cross multiply
    10,296x = 15,429.24 × 5,605.83
  4. Step 4: Simplify right side
    10,296x = 86,493,696.47
  5. Step 5: Solve for x
    x = 86,493,696.47/10,296
  6. Step 6: Final answer
    x = 8,400.71

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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.