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Finding the Fourth Proportional to 11,559, 17,341.11 and 3,661.99

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Solution

The fourth proportional to 11,559, 17,341.11 and 3,661.99 is: 5,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559 : 17,341.11 = 3,661.99 : x
  2. Step 2: Convert to fraction form
    11,559/17,341.11 = 3,661.99/x
  3. Step 3: Cross multiply
    11,559x = 17,341.11 × 3,661.99
  4. Step 4: Simplify right side
    11,559x = 63,502,971.41
  5. Step 5: Solve for x
    x = 63,502,971.41/11,559
  6. Step 6: Final answer
    x = 5,493.81

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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.