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Finding the Fourth Proportional to 13,337, 18,405.06 and 7,449

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Solution

The fourth proportional to 13,337, 18,405.06 and 7,449 is: 10,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,337 : 18,405.06 = 7,449 : x
  2. Step 2: Convert to fraction form
    13,337/18,405.06 = 7,449/x
  3. Step 3: Cross multiply
    13,337x = 18,405.06 × 7,449
  4. Step 4: Simplify right side
    13,337x = 137,099,291.94
  5. Step 5: Solve for x
    x = 137,099,291.94/13,337
  6. Step 6: Final answer
    x = 10,279.62

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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.