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Finding the Fourth Proportional to 28,709.74, 43,064.64 and 15,645.16

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Solution

The fourth proportional to 28,709.74, 43,064.64 and 15,645.16 is: 23,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,709.74 : 43,064.64 = 15,645.16 : x
  2. Step 2: Convert to fraction form
    28,709.74/43,064.64 = 15,645.16/x
  3. Step 3: Cross multiply
    28,709.74x = 43,064.64 × 15,645.16
  4. Step 4: Simplify right side
    28,709.74x = 673,753,183.14
  5. Step 5: Solve for x
    x = 673,753,183.14/28,709.74
  6. Step 6: Final answer
    x = 23,467.76

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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.