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Finding the Fourth Proportional to 3,702, 5,553.88 and 1,105.01

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Solution

The fourth proportional to 3,702, 5,553.88 and 1,105.01 is: 1,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702 : 5,553.88 = 1,105.01 : x
  2. Step 2: Convert to fraction form
    3,702/5,553.88 = 1,105.01/x
  3. Step 3: Cross multiply
    3,702x = 5,553.88 × 1,105.01
  4. Step 4: Simplify right side
    3,702x = 6,137,062.41
  5. Step 5: Solve for x
    x = 6,137,062.41/3,702
  6. Step 6: Final answer
    x = 1,657.77

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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.