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Finding the Fourth Proportional to 11,337, 15,645.24 and 6,369

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Solution

The fourth proportional to 11,337, 15,645.24 and 6,369 is: 8,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337 : 15,645.24 = 6,369 : x
  2. Step 2: Convert to fraction form
    11,337/15,645.24 = 6,369/x
  3. Step 3: Cross multiply
    11,337x = 15,645.24 × 6,369
  4. Step 4: Simplify right side
    11,337x = 99,644,533.56
  5. Step 5: Solve for x
    x = 99,644,533.56/11,337
  6. Step 6: Final answer
    x = 8,789.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.