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Finding the Fourth Proportional to 3,529, 5,291.60 and 1,188.23

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Solution

The fourth proportional to 3,529, 5,291.60 and 1,188.23 is: 1,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529 : 5,291.60 = 1,188.23 : x
  2. Step 2: Convert to fraction form
    3,529/5,291.60 = 1,188.23/x
  3. Step 3: Cross multiply
    3,529x = 5,291.60 × 1,188.23
  4. Step 4: Simplify right side
    3,529x = 6,287,611.41
  5. Step 5: Solve for x
    x = 6,287,611.41/3,529
  6. Step 6: Final answer
    x = 1,781.70

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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.