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Finding the Fourth Proportional to 12,309.77, 18,467.41 and 3,544

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Solution

The fourth proportional to 12,309.77, 18,467.41 and 3,544 is: 5,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.77 : 18,467.41 = 3,544 : x
  2. Step 2: Convert to fraction form
    12,309.77/18,467.41 = 3,544/x
  3. Step 3: Cross multiply
    12,309.77x = 18,467.41 × 3,544
  4. Step 4: Simplify right side
    12,309.77x = 65,448,501.04
  5. Step 5: Solve for x
    x = 65,448,501.04/12,309.77
  6. Step 6: Final answer
    x = 5,316.79

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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.