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Finding the Fourth Proportional to 11,471.61, 17,205.79 and 3,679.41

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Solution

The fourth proportional to 11,471.61, 17,205.79 and 3,679.41 is: 5,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.61 : 17,205.79 = 3,679.41 : x
  2. Step 2: Convert to fraction form
    11,471.61/17,205.79 = 3,679.41/x
  3. Step 3: Cross multiply
    11,471.61x = 17,205.79 × 3,679.41
  4. Step 4: Simplify right side
    11,471.61x = 63,307,051.36
  5. Step 5: Solve for x
    x = 63,307,051.36/11,471.61
  6. Step 6: Final answer
    x = 5,518.59

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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.